Comprehensive Workbook for Mathematics

Math Introduction

Chapter 1
Chapter One – Overview

Arithmetic Skills

Skill IA1	Add, subtract, multiply and divide fractions
Skill IA2	Add, subtract, multiply and divide decimals
Skill IIA1	Recognize the meaning of exponents, and
Skill IIA2	Identify place value and use expanded notation
Skill IIA3	Identify equivalent decimals, percents and fractions
Skill IIA4	Determine the order relationships between two real numbers
Skill IA4	Solve for one variable of the sentence (a% of b = c)
Skill IA3	Calculate percent increase and decrease
Skill IVA1	Solve word problems without variables or percents
Skill IVA2	Solve word problems involving percents
Skill IVA3	Solve problems involving the structure and logic of arithmetic
Skill IIA5	Estimate sums, averages and products
Skill IIIA1	Find missing numbers given a pattern

Arithmetic Practice Problems

Skill IA1	Add, subtract, multiply and divide fractions
Skill IA2	Add, subtract, multiply and divide decimals
Skill IIA1	Recognize the meaning of exponents
Skill IIA2	Identify place value and use expanded notation
Skill IIA3	Identify equivalent decimals, percents and fractions
Skill IIA4	Determine the order relationships between two real numbers
Skill IA4	Solve for one variable of the sentence (a% of b = c)
Skill IA3	Calculate percent increase and decrease
Skill IVA1	Solve word problems without variables or percents
Skill IVA2	Solve word problems involving percents
Skill IVA3	Solve problems involving the structure and logic of arithmetic
Skill IIA5	Estimate sums, averages and products
Skill IIIA1	Find missing numbers given a pattern

Arithmetic Practice Explanations

Skill IA1	Add, subtract, multiply and divide fractions
Skill IA2	Add, subtract, multiply and divide decimals
Skill IIA1	Recognize the meaning of exponents
Skill IIA2	Identify place value and use expanded notation
Skill IIA3	Identify equivalent decimals, percents and fractions
Skill IIA4	Determine the order relationships between two real numbers
Skill IA4	Solve for one variable of the sentence (a% of b = c)
Skill IA3	Calculate percent increase and decrease
Skill IVA1	Solve word problems without variables or percents
Skill IVA2	Solve word problems involving percents
Skill IVA3	Solve problems involving the structure and logic of arithmetic
Skill IIA5	Estimate sums, averages and products
Skill IIIA1	Find missing numbers given a pattern

Geometry and Measurement

Chapter 2
Chapter Two – Overview

Geometry and Measurement Skills

Skill IB1	Round Measurements
Skill IVB2	Word problems with Pythagorean Theorem
Skill IIB4	Identify appropriate units of measure
Skill IB2	Calculate distances, areas and volumes
Skill IVB1	Word problems involving geometric figures
Skill IIIB2	Identify formulae for measuring geometric figures
Skill IIIB1	Infer formulae for measuring geometric figures
Skill IIB1	Identify relationships between angle measures
Skill IIB2	Identify names of plane figures given their properties
Skill IIB3	Recognize similar triangles and their properties

Geometry and Measurement Practice Problems

Skill IB1	Round Measurements
Skill IVB2	Word problems with Pythagorean Theorem
Skill IIB4	Identify appropriate units of measure
Skill IB2	Calculate distances, areas and volumes
Skill IVB1	Word problems involving geometric figures
Skill IIIB2	Identify formulae for measuring geometric figures
Skill IIIB1	Infer formulae for measuring geometric figures
Skill IIB1	Identify relationships between angle measures
Skill IIB2	Identify names of plane figures given their properties
Skill IIB3	Recognize similar triangles and their properties

Geometry and Measurement Practice Explanations

Chapter 3
Chapter Three – Overview

Algebra Skills

IC1	Add, subtract, multiply and divide real numbers
IC2	Apply the order of operations agreement
IIC1	Use properties of operations
IC3	Use scientific notation
IIC2	Determine if a number is a solution to an equation or inequality
IIIC2	Use properties to identify equivalent equations and inequalities
IC4	Solve linear equations and inequalities
IC5	Use algebraic formulae
IC6	Find values of functions
IC7	Find factors of quadratic expressions
IC8	Find solutions to quadratic equations
IC9	Solve a system of linear equations in two unknowns
IIC4	Identify specified regions of the coordinate plane
IVC2	Solve problems involving the structure and logic of algebra
IIC3	Identify statements of proportionality and variation
IVC1	Solve algebraic word problems with variables

Algebra Practice Problems

IC1	Add, subtract, multiply and divide real numbers
IC2	Apply the order of operations agreement
IIC1	Use properties of operations
IC3	Use scientific notation
IIC2	Determine if a number is a solution to an equation or inequality
IIIC2	Use properties to identify equivalent equations and inequalities
IC4	Solve linear equations and inequalities
IC5	Use algebraic formulae
IC	Find values of functions
IC7	Find factors of quadratic expressions
IC8	Find solutions to quadratic equations
IC9	Solve a system of linear equations in two unknowns
IIC4	Identify specified regions of the coordinate plane
IVC2	Solve problems involving the structure and logic of algebra
IIC3	Identify statements of proportionality and variation
IVC1	Solve algebraic word problems with variables

Algebra Practice Problem Explanations

IC1	Add, subtract, multiply and divide real numbers
IC2	Apply the order of operations agreement
IIC1	Use properties of operations
IC3	Use scientific notation
IIC2	Determine if a number is a solution to an equation or inequality
IIIC2	Use properties to identify equivalent equations and inequalities
IC4	Solve linear equations and inequalities
IC5	Use algebraic formulae
IC6	Find values of functions
IC7	Find factors of quadratic expressions
IC8	Find solutions to quadratic equations
IC9	Solve a system of linear equations in two unknowns
IIC4	Identify specified regions of the coordinate plane
IVC2	Solve problems involving the structure and logic of algebra
IIC3	Identify statements of proportionality and variation
IVC1	Solve algebraic word problems with variables

Chapter 4
Chapter Four – Overview

Statistics and Probability Skills

IID2	Identify appropriate procedure for selecting unbiased samples
ID1	Identify information in bar, line and circle graphs
ID2	Determine mean, median and mode
IID1	Identify relationships between mean, median and mode
IIID1	Infer relations and make predictions from statistical data
ID3	Use the fundamental counting principle
IID3	Identify probabilities
IVD1	Interpret information in frequency tables
IVD2	Solve word problems using probability

Statistics and Probability Practice Problems

IID2	Identify appropriate procedure for selecting unbiased samples
ID1	Identify information in bar, line and circle graphs
ID2	Determine mean, median and mode
IID1	Identify relationships between mean, median and mode
IIID1	Infer relations and make predictions from statistical data
ID3	Use the fundamental counting principle
IID3	Identify probabilities
IVD1	Interpret information in frequency tables
IVD2	Solve word problems using probability

Statistics and Probability Problem Explanations

IID2	Identify appropriate procedure for selecting unbiased samples
ID1	Identify information in bar, line and circle graphs
ID2	Determine mean, median and mode
IID1	Identify relationships between mean, median and mode
IIID1	Infer relations and make predictions from statistical data
ID3	Use the fundamental counting principle
IID3	Identify probabilities
IVD1	Interpret information in frequency tables
IVD2	Solve word problems using probability

Chapter 5
Chapter Five – Overview

Logic Skills

IE1	Deduce facts of set inclusion and non-inclusion from diagrams
IIE1	Identify negations of simple and compound statements
IIE2	Determine equivalence and non-equivalence of statements
IIIE2	Identify rules of transforming statements
IIE3	Draw logical conclusions from data
IIE4	Identify valid arguments that have true conclusions
IIIE1	Identify valid reasoning patterns
IVE1	Draw logical conclusions

Logic Practice Problems

IE1	Deduce facts of set inclusion and non-inclusion from diagrams
IIE1	Identify negations of simple and compound statements
IIE2	Determine equivalence and non-equivalence of statements
IIIE2	Identify rules of transforming statements
IIE3	Draw logical conclusions from data
IIE4	Identify valid arguments that have true conclusions
IIIE1	Identify valid reasoning patterns
IVE1	Draw logical conclusions

Logic Practice Problems Explanations

IE1	Deduce facts of set inclusion and non-inclusion from diagrams
IIE1	Identify negations of simple and compound statements
IIE2	Determine equivalence and non-equivalence of statements
IIIE2	Identify rules of transforming statements
IIE3	Draw logical conclusions from data
IIE4	Identify valid arguments that have true conclusions
IIIE1	Identify valid reasoning patterns
IVE1	Draw logical conclusions

Glossary

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