索引索引Index
Index索引
AAAS (angle-angle-side) 10.1absolute maximum 3.3absolute minimum 3.3absolute value 3.2, 3.6absolute value equation 2.6absolute value function 3.2absolute value functions 3.6absolute value inequality 2.7addition method 11.1Addition Principle 13.5addition property 2.7adjacent side 7.2algebraic expression 1.1altitude 10.1ambiguous case 10.1amplitude 8.1angle 7.1angle of depression 7.2angle of elevation 7.2, 10.1angle of rotation 12.4angular speed 7.1annual interest 13.4annual percentage rate (APR) 6.1annuity 13.4apoapsis 12.5arc 7.1arc length 7.1, 7.3arccosine 8.3Archimedes’ spiral 10.4arcsine 8.3arctangent 8.3area 2.3area of a circle 5.2area of a sector 7.1argument 10.5arithmetic sequence 13.2, 13.4arithmetic series 13.4arrow notation 5.6associative property of addition 1.1associative property of multiplication 1.1asymptotes 12.2augmented matrix 11.6, 11.7average rate of change 3.3axes of symmetry 12.2axis of symmetry 5.1, 12.3
AAAS (angle-angle-side) AAS(二角夾辺以外の一辺) 10.1absolute maximum 絶対的な最大値 3.3absolute minimum 絶対的な最小値 3.3absolute value 絶対値 3.2, 3.6absolute value equation 絶対値の方程式 2.6absolute value function 絶対値関数 3.2absolute value functions 絶対値関数 3.6absolute value inequality 絶対値を含む不等式 2.7addition method 足し算法 11.1Addition Principle 和の原理 13.5addition property 足し算の性質 2.7adjacent side 隣り合う辺 7.2algebraic expression 代数の式 1.1altitude 高さ 10.1ambiguous case あいまいな場合 10.1amplitude 振幅 8.1angle 角 7.1angle of depression 俯角 7.2angle of elevation 仰角 7.2, 10.1angle of rotation 回転角 12.4angular speed 角速度 7.1annual interest 年の利息 13.4annual percentage rate (APR) 年利(APR) 6.1annuity 年金 13.4apoapsis 遠点 12.5arc 弧 7.1arc length 弧長 7.1, 7.3arccosine 逆余弦 8.3Archimedes’ spiral アルキメデスの渦巻き 10.4arcsine 逆正弦 8.3arctangent 逆正接 8.3area 面積 2.3area of a circle 円の面積 5.2area of a sector 扇形の面積 7.1argument 偏角 10.5arithmetic sequence 等差数列 13.2, 13.4arithmetic series 等差級数 13.4arrow notation 矢印の表記 5.6associative property of addition 足し算の結合法則 1.1associative property of multiplication 掛け算の結合法則 1.1asymptotes 漸近線 12.2augmented matrix 拡大係数行列 11.6, 11.7average rate of change 平均変化率 3.3axes of symmetry 対称軸 12.2axis of symmetry 対称軸 5.1, 12.3
Bbase 1.1binomial 1.4, 5.4binomial coefficient 13.6binomial expansion 13.6Binomial Theorem 13.6break-even point 11.1
Bbase 底 1.1binomial 二項式 1.4, 5.4binomial coefficient 二項係数 13.6binomial expansion 二項展開 13.6Binomial Theorem 二項定理 13.6break-even point 損益分岐点 11.1
Ccardioid 10.4carrying capacity 6.7Cartesian coordinate system 2.1Cartesian equation 10.3Celsius 3.7center of a hyperbola 12.2center of an ellipse 12.1central rectangle 12.2change-of-base formula 6.5circle 11.3circular motion 8.1circumference 7.1co-vertex 12.1co-vertices 12.1coefficient 1.4, 5.2, 5.5coefficient matrix 11.6, 11.7cofunction 9.2cofunction identities 7.2, 9.2column 11.5column matrix 11.5combinations 13.5, 13.6combining functions 3.4common base 6.6common difference 13.2, 13.4common logarithm 6.3common ratio 13.3, 13.4commutative 3.4commutative property of addition 1.1commutative property of multiplication 1.1complement of an event 13.7completing the square 2.5complex conjugate 2.4Complex Conjugate Theorem 5.5complex number 2.4, 10.5complex plane 2.4, 10.5composite function 3.4composition of functions 3.4compound inequality 2.7compound interest 6.1compression 4.1, 6.2, 6.4conditional equation 2.2conic 12.1, 12.2, 12.5conic section 12.4conic sections 10.6conjugate axis 12.2consistent system 11.1constant 1.1constant function 3.2constant of variation 5.8continuous 5.3continuous function 5.2convex limaçons 10.4coordinate plane 12.3correlation coefficient 4.3cosecant 7.4, 8.2cosecant function 8.2, 9.1cosine 9.4cosine function 7.3, 8.1cost function 3.4, 11.1cotangent 7.4, 8.2cotangent function 8.2, 9.1coterminal angles 7.1Cramer’s Rule 11.8cube root 5.2cubic functions 5.7curvilinear path 10.6
Ccardioid 心臓形 10.4carrying capacity 環境収容力 6.7Cartesian coordinate system デカルト座標系 2.1Cartesian equation デカルトの式 10.3Celsius セ氏 3.7center of a hyperbola 双曲線の中心 12.2center of an ellipse 楕円の中心 12.1central rectangle 中心の長方形 12.2change-of-base formula 底の変換の公式 6.5circle 円 11.3circular motion 円運動 8.1circumference 円周 7.1co-vertex 余頂点 12.1co-vertices 余頂点(複数) 12.1coefficient 係数 1.4, 5.2, 5.5coefficient matrix 係数行列 11.6, 11.7cofunction 余関数 9.2cofunction identities 余関数の恒等式 7.2, 9.2column 列 11.5column matrix 列行列 11.5combinations 組合せ 13.5, 13.6combining functions 関数を組み合わせる 3.4common base 共通の底 6.6common difference 公差 13.2, 13.4common logarithm 常用対数 6.3common ratio 公比 13.3, 13.4commutative 交換できる 3.4commutative property of addition 足し算の交換法則 1.1commutative property of multiplication 掛け算の交換法則 1.1complement of an event 事象の余事象 13.7completing the square 平方完成 2.5complex conjugate 共役複素数 2.4Complex Conjugate Theorem 共役複素数の定理 5.5complex number 複素数 2.4, 10.5complex plane 複素平面 2.4, 10.5composite function 合成関数 3.4composition of functions 関数の合成 3.4compound inequality 連立不等式 2.7compound interest 複利 6.1compression 縮小 4.1, 6.2, 6.4conditional equation 条件付きの方程式 2.2conic 円錐曲線 12.1, 12.2, 12.5conic section 円錐曲線 12.4conic sections 円錐曲線(複数) 10.6conjugate axis 共役軸 12.2consistent system 解を持つ組 11.1constant 定数 1.1constant function 定数関数 3.2constant of variation 比例定数 5.8continuous 連続 5.3continuous function 連続関数 5.2convex limaçons 凸なリマソン 10.4coordinate plane 座標平面 12.3correlation coefficient 相関係数 4.3cosecant 余割 7.4, 8.2cosecant function 余割関数 8.2, 9.1cosine 余弦 9.4cosine function 余弦関数 7.3, 8.1cost function 費用関数 3.4, 11.1cotangent 余接 7.4, 8.2cotangent function 余接関数 8.2, 9.1coterminal angles 動径が重なる角 7.1Cramer’s Rule クラメルの公式 11.8cube root 立方根 5.2cubic functions 三次関数 5.7curvilinear path 曲がった道筋 10.6
DDe Moivre 10.5De Moivre’s Theorem 10.5decompose a composite function 3.4decomposition 11.4decreasing function 3.3, 4.1decreasing linear function 4.1degenerate conic sections 12.4degree 1.4, 5.2, 7.1dependent system 11.1, 11.2dependent variable 3.1Descartes 10.5Descartes’ Rule of Signs 5.5determinant 11.8difference of squares 1.4dimpled limaçons 10.4direct variation 5.8directrix 12.3, 12.5discriminant 2.5displacement 7.1distance formula 2.1, 9.2, 12.2, 12.3distributive property 1.1diverges 13.4dividend 5.4Division Algorithm 5.4, 5.5divisor 5.4domain 3.1, 3.2, 8.3domain and range 3.2domain of a composite function 3.4dot product 10.8double-angle formulas 9.3doubling time 6.7Dürer 10.4
DDe Moivre ド・モアブル 10.5De Moivre’s Theorem ド・モアブルの定理 10.5decompose a composite function 合成関数を分解する 3.4decomposition 分解 11.4decreasing function 減る関数 3.3, 4.1decreasing linear function 減る一次関数 4.1degenerate conic sections 退化した円錐曲線 12.4degree 次数 1.4, 5.2, 7.1dependent system 従属な組 11.1, 11.2dependent variable 従属変数 3.1Descartes デカルト 10.5Descartes’ Rule of Signs デカルトの符号の規則 5.5determinant 行列式 11.8difference of squares 平方の差 1.4dimpled limaçons くぼんだリマソン 10.4direct variation 正比例 5.8directrix 準線 12.3, 12.5discriminant 判別式 2.5displacement 変位 7.1distance formula 距離の公式 2.1, 9.2, 12.2, 12.3distributive property 分配法則 1.1diverges 発散する 13.4dividend 被除数 5.4Division Algorithm 除法の算法 5.4, 5.5divisor 除数 5.4domain 定義域 3.1, 3.2, 8.3domain and range 定義域と値域 3.2domain of a composite function 合成関数の定義域 3.4dot product 内積 10.8double-angle formulas 倍角の公式 9.3doubling time 倍加時間 6.7Dürer デューラー 10.4
Eeccentricity 12.5electrostatic force 3.3elimination 11.3ellipse 10.7, 11.3, 12.1, 12.3, 12.5ellipsis 13.1end behavior 5.2, 5.6endpoint 3.3, 7.1entry 11.5equation 1.1, 3.1equation in quadratic form 2.6equation in two variables 2.1Euler 10.5even function 3.5, 9.1even-odd identities 9.1event 13.7experiment 13.7explicit formula 13.1, 13.2, 13.3exponent 1.1Exponential decay 6.1, 6.2, 6.7, 6.8exponential equation 6.6exponential function 6.1exponential growth 6.1, 6.2, 6.7exponential notation 1.1extraneous solution 6.6extraneous solutions 2.6extrapolation 4.3
Eeccentricity 離心率 12.5electrostatic force 静電気の力 3.3elimination 消去 11.3ellipse 楕円 10.7, 11.3, 12.1, 12.3, 12.5ellipsis 点線 13.1end behavior 端の振る舞い 5.2, 5.6endpoint 端点 3.3, 7.1entry 成分 11.5equation 方程式 1.1, 3.1equation in quadratic form 二次の形の方程式 2.6equation in two variables 二変数の方程式 2.1Euler オイラー 10.5even function 偶関数 3.5, 9.1even-odd identities 偶奇の恒等式 9.1event 事象 13.7experiment 試行 13.7explicit formula 一般項の公式 13.1, 13.2, 13.3exponent 指数 1.1Exponential decay 指数の減衰 6.1, 6.2, 6.7, 6.8exponential equation 指数の方程式 6.6exponential function 指数関数 6.1exponential growth 指数の増大 6.1, 6.2, 6.7exponential notation 指数の表記 1.1extraneous solution 無縁な解 6.6extraneous solutions 無縁な解(複数) 2.6extrapolation 外挿 4.3
Ffactor by grouping 1.5Factor Theorem 5.5factorial 13.1factoring 2.5Fahrenheit 3.7feasible region 11.3finite arithmetic sequence 13.2finite sequence 13.1foci 12.1, 12.2focus 12.1, 12.3, 12.5FOIL 1.4formula 1.1, 3.1function 3.1, 3.2function notation 3.1Fundamental Counting Principle 13.5Fundamental Theorem of Algebra 5.5
Ffactor by grouping 組にして因数分解する 1.5Factor Theorem 因数定理 5.5factorial 階乗 13.1factoring 因数分解 2.5Fahrenheit カ氏 3.7feasible region 実行可能領域 11.3finite arithmetic sequence 有限の等差数列 13.2finite sequence 有限数列 13.1foci 焦点(複数) 12.1, 12.2focus 焦点 12.1, 12.3, 12.5FOIL 1.4formula 公式 1.1, 3.1function 関数 3.1, 3.2function notation 関数の表記 3.1Fundamental Counting Principle 数え上げの基本原理 13.5Fundamental Theorem of Algebra 代数の基本定理 5.5
GGauss 10.5, 11.2, 11.6Gaussian elimination 11.2, 11.6general form 5.1general form of a quadratic function 5.1Generalized Pythagorean Theorem 10.2geometric sequence 13.3, 13.4geometric series 13.4global maximum 5.3global minimum 5.3graph in two variables 2.1gravity 10.7greatest common factor 1.5, 2.5
GGauss ガウス 10.5, 11.2, 11.6Gaussian elimination ガウスの消去法 11.2, 11.6general form 一般の形 5.1general form of a quadratic function 二次関数の一般の形 5.1Generalized Pythagorean Theorem 一般化されたピタゴラスの定理 10.2geometric sequence 等比数列 13.3, 13.4geometric series 等比級数 13.4global maximum 全体での最大値 5.3global minimum 全体での最小値 5.3graph in two variables 二変数のグラフ 2.1gravity 重力 10.7greatest common factor 最大公約数 1.5, 2.5
Hhalf-angle formulas 9.3half-life 6.6, 6.7Heaviside method 11.4Heron of Alexandria 10.2Heron’s formula 10.2horizontal asymptote 5.6horizontal compression 3.5, 9.5horizontal line 2.2, 4.1horizontal line test 3.1horizontal reflection 3.5horizontal shift 3.5, 6.2, 6.4, 8.1horizontal stretch 3.5hyperbola 12.2, 12.3, 12.5hypotenuse 7.2
Hhalf-angle formulas 半角の公式 9.3half-life 半減期 6.6, 6.7Heaviside method ヘヴィサイドの方法 11.4Heron of Alexandria アレクサンドリアのヘロン 10.2Heron’s formula ヘロンの公式 10.2horizontal asymptote 横の漸近線 5.6horizontal compression 横の縮小 3.5, 9.5horizontal line 横の直線 2.2, 4.1horizontal line test 横の直線の判定 3.1horizontal reflection 横の反転 3.5horizontal shift 横の移動 3.5, 6.2, 6.4, 8.1horizontal stretch 横の引き伸ばし 3.5hyperbola 双曲線 12.2, 12.3, 12.5hypotenuse 斜辺 7.2
Iidentities 7.4identity equation 2.2identity matrix 11.7identity property of addition 1.1identity property of multiplication 1.1imaginary number 2.4inconsistent equation 2.2inconsistent system 11.1, 11.2increasing function 3.3, 4.1increasing linear function 4.1independent system 11.1independent variable 3.1index 1.3index of summation 13.4inequality 11.3infinite geometric sequence 13.4infinite sequence 13.1infinite series 13.4initial point 10.8initial side 7.1inner-loop limaçons 10.4input 3.1integers 1.1intercepts 2.1Intermediate Value Theorem 5.3interpolation 4.3intersection 13.7interval 2.7interval notation 2.7, 3.2, 3.3inverse cosine function 8.3inverse function 3.7, 5.7inverse matrix 11.7inverse of a radical function 5.7inverse of a rational function 5.7inverse property of addition 1.1inverse property of multiplication 1.1inverse sine function 8.3inverse tangent function 8.3inverse trigonometric functions 8.3inverse variation 5.8inverse variations 5.8inversely proportional 5.8invertible functions 5.7invertible matrix 11.7, 11.8irrational numbers 1.1
Iidentities 恒等式 7.4identity equation 恒等式となる方程式 2.2identity matrix 単位行列 11.7identity property of addition 足し算の単位元の性質 1.1identity property of multiplication 掛け算の単位元の性質 1.1imaginary number 虚数 2.4inconsistent equation 解の無い方程式 2.2inconsistent system 解の無い組 11.1, 11.2increasing function 増える関数 3.3, 4.1increasing linear function 増える一次関数 4.1independent system 独立な組 11.1independent variable 独立変数 3.1index 指数 1.3index of summation 和の指標 13.4inequality 不等式 11.3infinite geometric sequence 無限の等比数列 13.4infinite sequence 無限数列 13.1infinite series 無限級数 13.4initial point 始点 10.8initial side 始線 7.1inner-loop limaçons 内側に輪を持つリマソン 10.4input 入力 3.1integers 整数 1.1intercepts 座標軸との交点 2.1Intermediate Value Theorem 中間値の定理 5.3interpolation 内挿 4.3intersection 交わり 13.7interval 区間 2.7interval notation 区間の表記 2.7, 3.2, 3.3inverse cosine function 逆余弦関数 8.3inverse function 逆関数 3.7, 5.7inverse matrix 逆行列 11.7inverse of a radical function 無理関数の逆 5.7inverse of a rational function 有理関数の逆 5.7inverse property of addition 足し算の逆元の性質 1.1inverse property of multiplication 掛け算の逆元の性質 1.1inverse sine function 逆正弦関数 8.3inverse tangent function 逆正接関数 8.3inverse trigonometric functions 逆三角関数 8.3inverse variation 反比例 5.8inverse variations 反比例(複数) 5.8inversely proportional 反比例する 5.8invertible functions 逆を持つ関数 5.7invertible matrix 正則行列 11.7, 11.8irrational numbers 無理数 1.1
Llatus rectum 12.3Law of Cosines 10.2Law of Sines 10.1, 10.2leading coefficient 1.4, 5.2leading term 1.4, 5.2least common denominator 1.6, 2.2least squares regression 4.3lemniscate 10.4linear equation 2.2Linear Factorization Theorem 5.5linear function 4.1linear growth 6.1linear model 4.2, 4.3linear relationship 4.3linear speed 7.1local extrema 3.3local maximum 3.3, 5.3local minimum 3.3, 5.3logarithm 6.3logarithmic equation 6.6logarithmic model 6.8logistic growth model 6.7long division 5.4lower limit of summation 13.4
Llatus rectum 通径 12.3Law of Cosines 余弦定理 10.2Law of Sines 正弦定理 10.1, 10.2leading coefficient 先頭の係数 1.4, 5.2leading term 先頭の項 1.4, 5.2least common denominator 最小公分母 1.6, 2.2least squares regression 最小二乗回帰 4.3lemniscate レムニスケート 10.4linear equation 一次方程式 2.2Linear Factorization Theorem 一次の因数分解の定理 5.5linear function 一次関数 4.1linear growth 一次の増大 6.1linear model 一次のモデル 4.2, 4.3linear relationship 一次の関わり 4.3linear speed 線速度 7.1local extrema 局所の極値 3.3local maximum 局所の最大値 3.3, 5.3local minimum 局所の最小値 3.3, 5.3logarithm 対数 6.3logarithmic equation 対数の方程式 6.6logarithmic model 対数のモデル 6.8logistic growth model ロジスティック増大のモデル 6.7long division 筆算の割り算 5.4lower limit of summation 和の下限 13.4
Mmagnitude 3.2, 3.5, 10.5, 10.8main diagonal 11.6major and minor axes 12.1major axis 12.1matrix 11.5, 11.6matrix multiplication 11.5, 11.7matrix operations 11.5maximum value 5.1Maxwell Imeasure of an angle 7.1midline 8.1midpoint formula 2.1minimum value 5.1minor axis 12.1model breakdown 4.3modulus 3.2, 10.5monomial 1.4Multiplication Principle 13.5multiplication property 2.7multiplicative inverse 11.7multiplicative inverse of a matrix 11.7multiplicity 5.3mutually exclusive events 13.7
Mmagnitude 大きさ 3.2, 3.5, 10.5, 10.8main diagonal 主対角線 11.6major and minor axes 長軸と短軸 12.1major axis 長軸 12.1matrix 行列 11.5, 11.6matrix multiplication 行列の掛け算 11.5, 11.7matrix operations 行列の演算 11.5maximum value 最大値 5.1Maxwell マクスウェル Imeasure of an angle 角の大きさ 7.1midline 中央線 8.1midpoint formula 中点の公式 2.1minimum value 最小値 5.1minor axis 短軸 12.1model breakdown モデルの破綻 4.3modulus 絶対値 3.2, 10.5monomial 単項式 1.4Multiplication Principle 積の原理 13.5multiplication property 掛け算の性質 2.7multiplicative inverse 掛け算についての逆 11.7multiplicative inverse of a matrix 行列の掛け算についての逆 11.7multiplicity 重複度 5.3mutually exclusive events 互いに排反な事象 13.7
Nn factorial 13.1natural logarithm 6.3, 6.6natural numbers 1.1, 3.1negative angle 7.1Newton’s Law of Cooling 6.7nominal rate 6.1non-right triangles 10.1nondegenerate conic sections 12.4nonlinear inequality 11.3nth partial sum 13.4nth root of a complex number 10.5nth term of the sequence 13.1
Nn factorial nの階乗 13.1natural logarithm 自然対数 6.3, 6.6natural numbers 自然数 1.1, 3.1negative angle 負の角 7.1Newton’s Law of Cooling ニュートンの冷却の法則 6.7nominal rate 名目の利率 6.1non-right triangles 直角三角形でない三角形 10.1nondegenerate conic sections 退化していない円錐曲線 12.4nonlinear inequality 一次でない不等式 11.3nth partial sum 第n部分和 13.4nth root of a complex number 複素数のn乗根 10.5nth term of the sequence 数列の第n項 13.1
Ooblique triangle 10.1odd function 3.5, 9.1one-loop limaçon 10.4one-to-one 6.2, 6.3, 6.5one-to-one function 3.1, 3.7, 8.3opposite side 7.2order of magnitude 6.7order of operations 1.1ordered pair 2.1, 3.1, 3.2ordered triple 11.2origin 2.1, 3.6outcomes 13.7output 3.1
Ooblique triangle 斜三角形 10.1odd function 奇関数 3.5, 9.1one-loop limaçon 一重の輪のリマソン 10.4one-to-one 一対一 6.2, 6.3, 6.5one-to-one function 一対一の関数 3.1, 3.7, 8.3opposite side 向かい合う辺 7.2order of magnitude 桁の位 6.7order of operations 演算の順序 1.1ordered pair 順序対 2.1, 3.1, 3.2ordered triple 順序三つ組 11.2origin 原点 2.1, 3.6outcomes 結果 13.7output 出力 3.1
Pparabola 5.1, 10.7, 11.3, 12.3, 12.5parallel 2.2parallel lines 4.1parallelograms 10.8parameter 10.6parametric equations 10.6, 10.7parametric form 10.7parent function 6.4partial fraction 11.4partial fraction decomposition 11.4Pascal 10.4Pascal's Triangle 13.6perfect square trinomial 1.4periapsis 12.5perimeter 2.3period 7.4, 8.1, 8.2, 9.5periodic function 8.1permutation 13.5perpendicular 2.2perpendicular lines 4.1pH 6.5phase shift 8.1piecewise function 3.2piecewise functions 13.1point-slope form 4.1point-slope formula 2.2, 12.2polar axis 10.3polar coordinates 10.3, 10.4polar equation 10.3, 10.4, 12.5polar form 10.5polar form of a complex number 10.5polar form of a conic 12.5polar grid 10.3pole 10.3polynomial 1.4, 5.5polynomial equation 2.6polynomial function 5.2, 5.3position vector 10.8positive angle 7.1power function 5.2power rule for logarithms 6.5principal nth root 1.3principal square root 1.3probability 13.7probability model 13.7product of two matrices 11.5product rule for logarithms 6.5product-to-sum formulas 9.4profit function 11.1properties of determinants 11.8Proxima Centauri 6.7Pythagoras 10.5Pythagorean identities 9.1Pythagorean identity 9.2Pythagorean Identity 7.3, 7.4Pythagorean Theorem 2.1, 2.5, 9.3, 9.5, 10.2, 10.7
Pparabola 放物線 5.1, 10.7, 11.3, 12.3, 12.5parallel 平行 2.2parallel lines 平行な二直線 4.1parallelograms 平行四辺形 10.8parameter 媒介変数 10.6parametric equations 媒介変数表示 10.6, 10.7parametric form 媒介変数の形 10.7parent function 親の関数 6.4partial fraction 部分分数 11.4partial fraction decomposition 部分分数分解 11.4Pascal パスカル 10.4Pascal's Triangle パスカルの三角形 13.6perfect square trinomial 完全平方の三項式 1.4periapsis 近点 12.5perimeter 周の長さ 2.3period 周期 7.4, 8.1, 8.2, 9.5periodic function 周期関数 8.1permutation 順列 13.5perpendicular 垂直 2.2perpendicular lines 垂直な二直線 4.1pH 6.5phase shift 位相の移動 8.1piecewise function 区分けした関数 3.2piecewise functions 区分けした関数(複数) 13.1point-slope form 点と傾きの形 4.1point-slope formula 点と傾きの公式 2.2, 12.2polar axis 極軸 10.3polar coordinates 極座標 10.3, 10.4polar equation 極方程式 10.3, 10.4, 12.5polar form 極形式 10.5polar form of a complex number 複素数の極形式 10.5polar form of a conic 円錐曲線の極形式 12.5polar grid 極座標の格子 10.3pole 極 10.3polynomial 多項式 1.4, 5.5polynomial equation 多項式の方程式 2.6polynomial function 多項式関数 5.2, 5.3position vector 位置ベクトル 10.8positive angle 正の角 7.1power function 累乗関数 5.2power rule for logarithms 対数の累乗の規則 6.5principal nth root 主要なn乗根 1.3principal square root 主要な平方根 1.3probability 確率 13.7probability model 確率のモデル 13.7product of two matrices 二つの行列の積 11.5product rule for logarithms 対数の積の規則 6.5product-to-sum formulas 積を和に直す公式 9.4profit function 利益関数 11.1properties of determinants 行列式の性質 11.8Proxima Centauri プロキシマ・ケンタウリ 6.7Pythagoras ピタゴラス 10.5Pythagorean identities ピタゴラスの恒等式(複数) 9.1Pythagorean identity ピタゴラスの恒等式 9.2Pythagorean Identity ピタゴラスの恒等式 7.3, 7.4Pythagorean Theorem ピタゴラスの定理 2.1, 2.5, 9.3, 9.5, 10.2, 10.7
Qquadrant 2.1quadrantal angle 7.1quadratic 11.4quadratic equation 2.5, 9.5quadratic formula 2.5, 9.5quadratic function 5.1quotient 5.4quotient identities 9.1quotient rule for logarithms 6.5
Qquadrant 象限 2.1quadrantal angle 象限の境の角 7.1quadratic 二次 11.4quadratic equation 二次方程式 2.5, 9.5quadratic formula 二次方程式の解の公式 2.5, 9.5quadratic function 二次関数 5.1quotient 商 5.4quotient identities 商の恒等式 9.1quotient rule for logarithms 対数の商の規則 6.5
Rradian 7.1radian measure 7.1radical 1.3radical equation 2.6radical expression 1.3Radical expressions 1.3radical functions 5.7radicand 1.3, 2.6radiocarbon dating 6.7range 3.1, 8.3rate of change 3.3, 4.2rational equation 2.2rational expression 1.6, 2.2, 11.4rational function 5.6rational number 2.2rational numbers 1.1Rational Zero Theorem 5.5ray 7.1real number line 1.1real numbers 1.1reciprocal 2.2, 3.7, 5.2reciprocal function 5.6reciprocal identities 9.1reciprocal identity 8.2rectangular coordinates 10.3rectangular equation 10.3, 10.6rectangular form 10.5, 10.7recursive formula 13.1, 13.2, 13.3reduction formulas 9.3reference angle 7.1, 7.3, 7.4reflection 6.2, 6.4regression analysis 6.8regression line 4.3relation 3.1remainder 5.4Remainder Theorem 5.5removable discontinuity 5.6Restricting the domain 3.7resultant 10.8revenue function 11.1Richter Scale 6.3right triangle 7.2, 8.3roots 5.1rose curve 10.4row 11.5row matrix 11.5row operations 11.6, 11.7row-echelon form 11.6row-equivalent 11.6
Rradian ラジアン 7.1radian measure ラジアンでの大きさ 7.1radical 根号 1.3radical equation 根号の方程式 2.6radical expression 根号の式 1.3Radical expressions 根号の式(複数) 1.3radical functions 無理関数 5.7radicand 根号の中身 1.3, 2.6radiocarbon dating 放射性炭素による年代測定 6.7range 値域 3.1, 8.3rate of change 変化の割合 3.3, 4.2rational equation 有理式の方程式 2.2rational expression 有理式 1.6, 2.2, 11.4rational function 有理関数 5.6rational number 有理数 2.2rational numbers 有理数(複数) 1.1Rational Zero Theorem 有理数の零点の定理 5.5ray 半直線 7.1real number line 実数直線 1.1real numbers 実数 1.1reciprocal 逆数 2.2, 3.7, 5.2reciprocal function 逆数の関数 5.6reciprocal identities 逆数の恒等式(複数) 9.1reciprocal identity 逆数の恒等式 8.2rectangular coordinates 直交座標 10.3rectangular equation 直交座標での方程式 10.3, 10.6rectangular form 直交形式 10.5, 10.7recursive formula 漸化式 13.1, 13.2, 13.3reduction formulas 次数を下げる公式 9.3reference angle 参照角 7.1, 7.3, 7.4reflection 反転 6.2, 6.4regression analysis 回帰の分析 6.8regression line 回帰直線 4.3relation 関係 3.1remainder 余り 5.4Remainder Theorem 剰余の定理 5.5removable discontinuity 取り除ける不連続 5.6Restricting the domain 定義域を制限する 3.7resultant 合成ベクトル 10.8revenue function 収入関数 11.1Richter Scale リヒターの尺度 6.3right triangle 直角三角形 7.2, 8.3roots 根 5.1rose curve バラ曲線 10.4row 行 11.5row matrix 行行列 11.5row operations 行の演算 11.6, 11.7row-echelon form 行階段形 11.6row-equivalent 行について同値 11.6
Ssample space 13.7SAS (side-angle-side) triangle 10.2scalar 10.8, 11.5scalar multiple 10.8, 11.5Scalar multiplication 10.8, 11.5scatter plot 4.3scientific notation 1.2secant 7.4, 8.2secant function 8.2sector of a circle 7.1sequence 13.1, 13.2series 13.4set-builder notation 2.7, 3.2sigma 13.4sine 9.1, 9.4sine function 7.3, 8.1sinusoidal function 8.1slope 2.2, 4.1slope-intercept form 4.1smooth curve 5.2solution set 2.2, 11.2solving systems of linear equations 11.1special angles 9.2square matrix 11.5, 11.8square root property 2.5SSA (side-side-angle) 10.1SSS (side-side-side) triangle 10.2standard form 2.2standard form of a quadratic function 5.1standard position 7.1, 10.8stretch 6.2stretching/compressing factor 8.2substitution method 11.1sum and difference formulas for cosine 9.2sum and difference formulas for sine 9.2sum and difference formulas for tangent 9.2sum-to-product formulas 9.4summation notation 13.4surface area 5.7symmetry test 10.4synthetic division 5.4, 5.5system of equations 11.6, 11.7system of linear equations 4.2, 11.1system of nonlinear equations 11.3system of nonlinear inequalities 11.3system of three equations in three variables 11.8
Ssample space 標本空間 13.7SAS (side-angle-side) triangle SAS(二辺夾角)の三角形 10.2scalar スカラー 10.8, 11.5scalar multiple スカラー倍 10.8, 11.5Scalar multiplication スカラー倍 10.8, 11.5scatter plot 散布図 4.3scientific notation 科学の表記 1.2secant 正割 7.4, 8.2secant function 正割関数 8.2sector of a circle 円の扇形 7.1sequence 数列 13.1, 13.2series 級数 13.4set-builder notation 集合を作る表記 2.7, 3.2sigma シグマ 13.4sine 正弦 9.1, 9.4sine function 正弦関数 7.3, 8.1sinusoidal function 正弦曲線の関数 8.1slope 傾き 2.2, 4.1slope-intercept form 傾きと切片の形 4.1smooth curve なめらかな曲線 5.2solution set 解の集合 2.2, 11.2solving systems of linear equations 連立一次方程式を解く 11.1special angles 特別な角 9.2square matrix 正方行列 11.5, 11.8square root property 平方根の性質 2.5SSA (side-side-angle) SSA(二辺と夾角以外の一角) 10.1SSS (side-side-side) triangle SSS(三辺)の三角形 10.2standard form 標準の形 2.2standard form of a quadratic function 二次関数の標準の形 5.1standard position 標準位置 7.1, 10.8stretch 引き伸ばし 6.2stretching/compressing factor 引き伸ばし・縮小の倍率 8.2substitution method 代入法 11.1sum and difference formulas for cosine 余弦の加法定理 9.2sum and difference formulas for sine 正弦の加法定理 9.2sum and difference formulas for tangent 正接の加法定理 9.2sum-to-product formulas 和を積に直す公式 9.4summation notation 和の表記 13.4surface area 表面積 5.7symmetry test 対称性の判定 10.4synthetic division 組立除法 5.4, 5.5system of equations 連立方程式 11.6, 11.7system of linear equations 連立一次方程式 4.2, 11.1system of nonlinear equations 非線形連立方程式 11.3system of nonlinear inequalities 一次でない連立不等式 11.3system of three equations in three variables 三変数三式の連立方程式 11.8
Ttangent 7.4, 8.2tangent function 8.2, 9.1term 13.1, 13.2term of a polynomial 1.4term of a polynomial function 5.2terminal point 10.8terminal side 7.1transformation 3.5, 4.1translation 12.1transverse axis 12.2trigonometric equations 10.6trigonometric functions 7.4trigonometric identities 10.2trinomial 1.4turning point 5.2, 5.3
Ttangent 正接 7.4, 8.2tangent function 正接関数 8.2, 9.1term 項 13.1, 13.2term of a polynomial 多項式の項 1.4term of a polynomial function 多項式関数の項 5.2terminal point 終点 10.8terminal side 終線 7.1transformation 変換 3.5, 4.1translation 平行移動 12.1transverse axis 主軸 12.2trigonometric equations 三角方程式 10.6trigonometric functions 三角関数 7.4trigonometric identities 三角関数の恒等式 10.2trinomial 三項式 1.4turning point 折り返し点 5.2, 5.3
Uunion of two events 13.7unit circle 7.1, 7.2, 7.3, 9.5unit vector 10.8upper limit of summation 13.4upper triangular form 11.2
Uunion of two events 二つの事象の和事象 13.7unit circle 単位円 7.1, 7.2, 7.3, 9.5unit vector 単位ベクトル 10.8upper limit of summation 和の上限 13.4upper triangular form 上三角の形 11.2
Vvariable 1.1varies directly 5.8varies inversely 5.8vector 10.8vector addition 10.8vertex 5.1, 7.1, 12.1, 12.3vertex form of a quadratic function 5.1vertical asymptote 5.6, 8.3vertical compression 3.5vertical line 2.2, 4.1vertical line test 3.1vertical reflection 3.5vertical shift 3.5, 4.1, 6.2, 6.4, 6.7, 8.1vertical stretch 3.5, 4.1, 6.4vertices 12.1volume 2.3volume of a sphere 5.2
Vvariable 変数 1.1varies directly 正比例する 5.8varies inversely 反比例する 5.8vector ベクトル 10.8vector addition ベクトルの加法 10.8vertex 頂点 5.1, 7.1, 12.1, 12.3vertex form of a quadratic function 二次関数の頂点の形 5.1vertical asymptote 縦の漸近線 5.6, 8.3vertical compression 縦の縮小 3.5vertical line 縦の直線 2.2, 4.1vertical line test 縦の直線の判定 3.1vertical reflection 縦の反転 3.5vertical shift 縦の移動 3.5, 4.1, 6.2, 6.4, 6.7, 8.1vertical stretch 縦の引き伸ばし 3.5, 4.1, 6.4vertices 頂点(複数) 12.1volume 体積 2.3volume of a sphere 球の体積 5.2
Xx-axis 2.1x-coordinate 2.1x-intercept 2.1, 4.1
Xx-axis x軸 2.1x-coordinate x座標 2.1x-intercept x軸との交点 2.1, 4.1