JUNIOR HIGH SCHOOL

Math PACES 1049-1060 paperback booklets (43 pages each) cover:

• New math terms: quotient, dividend, numerator, and denominator.
• Addition, subtraction, division, and multiplication with fractions; identifies proper and improper fractions; and reduces fractions to lowest terms.
• Factors from least to greatest
• Finding the Greatest Common Factor (GCF) and the Least Common Denominator (LCD) of fractions.
• Place value of each digit in numbers up to thousands.
• Representing and comparing whole numbers and decimals.
• Commutative properties of addition and multiplication and estimation.
• Comparing numbers, sentences, words, decimals, and fractions using greater than and less than symbols.
• Defining and identifying prime numbers.
• Charts, pictographs, and line graphs.
• Roman numerals 1-399.
• Basic geometry-points, lines, rays, and angles; identifies geometric shapes; identifies similar and congruent figures; and finds the volume, perimeter, and area of figures.
• Probabilities and ratios.
• Simple unit conversions such as centimeters to meters within a system of measurement.

Math PACES 1061-1072 paperback booklets (43 pages each) cover:

• Learns the properties of addition and multiplication-commutative, associative, identity, and zero.
• Works with exponents and is introduced to expanded notation using exponents.
• Rounds and estimates large numbers and works mental estimation problems.
• Learns factoring rules (divisibility rules); identifies prime numbers and composite numbers.
• Reviews fractions and fraction terms; adds, subtracts, multiplies, and divides fractions; changesfractions to decimals using long division; and converts fractions to percents.
• Reviews decimals; adds, subtracts, multiplies, and divides decimals; defines repeating andterminating decimals; and changes decimals to percents.
• Relates percents and decimals to fractions, learns common percents, changes percents to decimals,and finds percent of a number.
• Is introduced to integers.
• Learns order of operation.
• Learns the terms equations and inequalities when comparing number sentences (<, >, =).
• Defines a variable and solves equations (one variable) using inverse operations.
• Works with ratios and proportions, and uses proportions to solve problems.
• Finds the probability of an event, and expresses probability as a ratio.
• Uses critical thinking skills to solve word problems.
• Defines and interprets circle, line, bar, and double-line graphs.
• Builds geometric knowledge; measures angles; finds the perimeter, area, and volume; and defines theparts of a circle.
• Rounds money to find estimated costs and solves money problems.
• Compares English and metric measurements, and carries out conversions.

Math PACES 1061-1072 paperback booklets (49 pages each) cover:

• Properties of addition and multiplication-commutative, associative, identity, and zero.
• Exponents and introduction to expanded notation using exponents.
• Rounding and estimating large numbers and mental estimation problems.
• Factoring rules (divisibility rules); identifies prime numbers and composite numbers.
• Fractions and fraction terms; adds, subtracts, multiplies, and divides fractions; change fractions to decimals using long division; and converts fractions to percents.
• Review decimals; adds, subtracts, multiplies, and divides decimals; define repeating and terminating decimals; and change decimals to percents.
• Change percents and decimals to fractions, common percents, change percents to decimals, and find percent of a number.
• Introduction to integers.
• Orders of operation.
• The terms equations and inequalities when comparing number sentences (<, >, =).
• Defines a variable and solves equations (one variable) using inverse operations.
• Ratios and proportions, and how to use proportions to solve problems.
• Find the probability of an event, and expressing probability as a ratio.
• Uses critical thinking skills to solve word problems.
• Define and interpret circle, line, bar, and double-line graphs.
• Build geometric knowledge; measures angles; finds the perimeter, area, and volume; and define the parts of a circle.
• Round money to find estimated costs and solves money problems.
• Compare English and metric measurements, and carries out conversions.

1. Math PACE 1061 covers: knowing place value through the hundred millions' place; reviewing adding and subtracting 3-, 4-, and 5-digit numbers; using number sentences to show commutative and associative properties of addition; learning about inverse operations; reviewing how to multiply 2- and 3-digit numbers; reviewing how to divide by 1-digit divisors and by multiples of 10; reviewing rules for finding factor of numbers; identifying prime and composite numbers; reviewing the basic concept of fractions, equivalent fractions, and fractions with like denominators; and solving word problems.
2. Math PACE 1062 (49 pages) covers: writing number words through hundred millions; changing the value of a large number by increasing or decreasing one of the digits by a multiple of 10; multiplying 4-digit numbers by 3-digit numbers; rounding numbers to the nearest multiple of 1,000; dividing by 2-digit divisors; learning about commutative and associative properties of addition and multiplication; learning identity properties of addition and multiplication; finding common factors and determining the GCF; writing fractions in simplest form; identifying proper, improper, and equivalent fractions; changing improper fractions to whole or mixed numbers; adding and subtracting mixed numbers with like fractions and writing the answers in simplest form; making and interpreting bar graphs; and solving word problems.
3. Math PACE 1063 (49 pages) covers: writing numbers in expanded notation; writing numbers in standard notation from expanded notation; multiplying with multiples of 10, 100, and 1,000 mentally; reviewing commutative, associative, and identity properties; dividing by 2-digit divisors with larger dividends and quotients and begin dividing with 3-digit divisors; finding averages; learning about equations and inequalities; using borrowing to subtract fractions from whole or mixed numbers; reviewing finding equivalent fractions; using cross products in determining equivalent fractions; finding the least common denominator; adding and subtracting mixed numbers with unlike fractions; using borrowing to subtract mixed numbers with unlike fractions; learning about decimals through the thousandths' place; learning about equivalent decimals; comparing decimals by place value through the thousandths' place; adding and subtracting decimals through the thousandths' place; and solving word problems.
4. Math PACE 1064 (49 pages) covers: defining and working with exponents; writing powers of 10 as exponents; learning more about rounding to the nearest 10, 100, and 1000; estimating products by rounding the factors; learning more about dividing with 3-digit divisors; finding the least common multiple; reviewing how to add and subtract mixed numbers with unlike fractions; applying the commutative, associative, and identity properties of addition to fractions; learning more about ratios; multiplying fractions with fractions and fractions with whole numbers using cancellation; multiplying fractions and mixed numbers using cancellation; writing decimals as fractions in simplest form; learning about decimals through the ten-thousandths' place; adding and subtracting decimals through the ten-thousandths' place; and solving word problems.
5. Math PACE 1065 (49 pages) covers: reviewing exponents; multiplying numbers times powers of 10 using exponents; comparing large numbers by place value; rounding large numbers; estimating sums and differences by rounding large numbers; determining the function rule by patterns in function tables; using multiplication to check division; learning about the "mean"; finding the least common multiple of three numbers; finding the least common denominator of three fractions and add them; reviewing how to multiply fractions; multiplying mixed numbers with whole numbers and mixed numbers with mixed numbers; learning about ratio and probability; comparing decimals by place value through the ten-thousandths' place; multiplying decimals through the ten-thousandths' place; finding area, using decimals as the length and width; studying and comparing line graphs and bar graphs; and solving word problems.
6. Math PACE 1066 (49 pages) covers: using the order of operations in evaluating expressions; substituting numbers for variables in evaluating expressions; using a formula to determine the area of a rectangle; working long division problems with zero in the quotient; rounding whole numbers to the place of greatest value; learning to use the divisibility rules; using the GCF to solve problems; reviewing how to multiply fractions; dividing whole numbers by fractions and fractions by fractions; adding and subtracting whole numbers and decimals; reviewing how to multiply decimals; rounding decimals to the nearest whole number; rounding decimals to the nearest tenth, hundredth, and thousandth; defining and learning about percents; and solving word problems.
7. Math PACE 1067 (49 pages) covers: studying the pattern of a sequence in order to determine the next term of the sequence; studying the pattern for all the pairs of numbers of a function table in order to write the function rule as an equation; using inverse operations to solve for the missing number in addition and subtraction equations; comparing unlike fractions by finding the least common denominator (LCD); reviewing how to divide fractions by fractions and whole numbers by fractions; dividing fractions by whole numbers or mixed numbers; dividing decimals by whole numbers; multiplying and dividing decimals by powers of ten by moving the decimal point; changing decimals to percents and percents to decimals by moving the decimal point; learning about circle graphs; and solving word problems.
8. Math PACE 1068 (49 pages) covers: knowing place value through the hundred billions' place; reading and writing number words through hundred billions; writing in expanded notation through hundred billions by using exponents; using inverse operations to solve for the missing numbers in multiplication and division equations; determining if two ratios are equivalent by using cross products; defining proportions; comparing unlike fractions by using cross products; dividing mixed numbers; dividing by decimal divisors; dividing and expressing remainders as decimals; and solving word problems.
9. Math PACE 1069 (49 pages) covers: reviewing place value and expanded notation through the hundred billions' place; reviewing the order of operations; reviewing how to solve for the missing number using inverse operations; learning about positive and negative numbers using the number line and the thermometer; reviewing how to add, subtract, multiply, and divide fractions; multiplying three fractions using cancellation; learning more about taking a fraction of a whole number; solving for the missing number in a proportion; reviewing how to divide by a decimal; dividing whole numbers when the divisor is greater than the dividend; changing a fraction to a decimal by dividing the numerator by the denominator; reviewing the relationship between fractions, decimals, and percents; changing a fraction to a percent and a percent to a fraction; and solving word problems.
10. Math PACE 1070 (49 pages) covers: reviewing positive and negative numbers; writing positive and negative numbers in order from least to greatest; rounding numbers and finding the closest estimate; finding the best equation to use to mentally estimate an answer; reviewing how to add, subtract, multiply, and divide fractions; learning more about multiplying three fractions using cancellation; reviewing how to add, subtract, multiply, and divide decimals; learning about terminating and repeating decimals; changing fractions to terminating or repeating decimals; finding decimal equivalents for mixed numbers and mixed number equivalents for decimals; comparing decimals, fractions, and percents; using decimal equivalents to find the percent of a number; using proportions to find the percent of a number; using proportions to write ratios as percents; finding what percent on number is of another; and solving word problems.
11. Math PACE 1071 (49 pages) covers: learning more about point, lines, line segments, and rays; naming perpendicular and parallel lines and line segments using symbols; naming angles in three ways using symbols; identifying and comparing kinds of angles; using a protractor to measure angles; using a protractor to construct angles to a given measure; naming congruent line segments and angles using symbols; classifying polygons by the number of sides or angles; recognizing regular polygons; comparing congruent and similar polygons; learning about lines of symmetry; identifying and comparing quadrilaterals; naming parallel and congruent sides of quadrilaterals; recognizing kinds of angles in quadrilaterals; plotting points for ordered pairs on a grid; and connecting the points of ordered pairs to form polygons.
12. Math PACE 1072 (49 pages) covers: finding the perimeter of a polygon; finding the length of each side of a regular polygon; using a formula to find the area of a rectangle; using a formula to find the area of a parallelogram; classifying triangles by the kinds of angles and by the number of degrees in each angle; using inverse operations to solve for the missing angle measure of a triangle; describing and identifying the parts of a circle; learning about the relationship between the parts of a circle; describing and identifying solid figures; comparing plane figures and solid figures; learning about volume and cubic units; using a formula to find the volume of a rectangular prism; determining whether a given situation is calling for perimeter, area, or volume measure; and solving word problems.

Math PACES 1073-1084 paperback booklets (51-59 pages each) cover: 

• Whole and mixed numbers, integers, and common fractions.
• Proper mathematical terminology-dividend, multiplicand, product, simplify, minuend, quotient, numerator, and denominator; how to change fractions and decimals to percent; how to find the number when a percent is known; and data and graphs, mean, mode, median, range, and rank.
• Business and consumer arithmetic-profit and loss, commission, discounts, bills and receipts, and invoices with discounts; ratio, proportions and percent.
• Business methods needed to function at home-keeping cash and household accounts, budgets, insurance, and the reading of gas and electric meters.
• Banking-savings and checking accounts, deposits, interest, and loans.
• English and metric units of length, volume, weight, and temperature.
• Basic geometry concepts and symbols, uses a protractor and compass to find perimeter and area of shapes and solids.
• Equations-variable, sets, and set notation; vocabulary, symbols and word problems.

1. PACE 1073 covers whole numbers, powers of ten in standard notation, expanded notation, commutative, associative, and identity properties for addition and multiplication, distributive property, comparing and ordering mixed numbers and fractions, and more.
2. PACE 1074 covers fractions, mixed numbers, and decimals.
3. PACE 1075 covers ranking a list of data, determining the mean, median, mode, and range, identifying outliners, drawing frequency tables, review and expand drawing graphs, graphically represent and interpet data from various displays, probability, and solving word problems using probability, permutations, and combinations.
4. PACE 1076 covers order of operations and expand to include exponents, variables, translate word problems and phrases into numeric expressions for all operations, translate word problems and phrases into algebraic expressions, equations, equations for word sentences, and more.
5. PACE 1077 covers integers, using a number line to model addition and subtraction, multiply and divide pos/neg integers, read and write equations, plot and identify plotted points on a plane, negative exponents, sets, Venn diagrams.
6. PACE 1078 covers writing numbers in scientific notation, changing numbers from scientific notation back to standard form, recognizing rational and irrational numbers, ratios and proportions, describing and solving equivalent ratios, proportions using tables and cross products, application problems using proportions, solving word problems, and to use the distance formula to solve for distance, rate, and time.
7. PACE 1079 covers changing fractions, decimal, & mixed numbers to equivalent percents, changing percents to equivalent fractions and decimals, the percent equivalents of commonly used fractions, percents greater than 100%, and more.
8. PACE 1080 covers basic geometry concepts, angles & kinds of angles, use of a protractor, kinds of angles forms by a transversal, congruent line segments, construct & bisect angles, construct parallel lines, and more.
9. PACE 1081 covers congruent and similar polygons, plotting the points of the vertices of a polygon on a coordinate plane, calculating the perimeter of polygons, using formulas to find perimeters, circumference, and the area of shapes, and to find the surface area of certain shapes.
10. PACE 1082 covers using a formula to find the volume of a rectangular prism, describing the relationship between the edge lengths and the volume of similar prisms, Biblical principles of finance and more.
11. PACE 1083 covers making change, circle graphs with budgets to show decimal and percent relationships, how interest is earned, how interest is charged, calculating simple and compound interest, solve problems involving tips, discounts, & sales tax, and more.
12. PACE 1084 covers English units of length, weight, and volume, units of measure using proportions, add & subtract units of time, add units of measurement for length in the English system, borrow & subtract units of measurement for weight in the English system, and more.

Math PACES 1085-1096 paperback booklets (51 pages each) cover: 

• Formulas to solve equations.
• Basic geometry and geometric forms
• Tables and graphs.
• Rates, time, and distance.
• The Pythagorean Theorem.
• Square roots.
• Positive and negative numbers.
• Comparing and converting English and metric units of length, volume, weight, and temperature.

1. PACE 1085 covers whole numbers, estimation, rounding, decimals, fractions, and more.
2. PACE 1086 covers integers, scientific notation, exponents, the decimal system, square roots, and more.
3. PACE 1087, covers algebraic expressions, order of operations, one and two-step equations, fractions, and more.
4. PACE 1088 covers multistep equations, two-step inequalities, word problems, monomials, and more.
5. PACE 1089 covers ratios, proportions, Pythagorean Theorem, measurement units, and more.
6. PACE 1090 covers graphs, tables, decimals, percents, and more.
7. PACE 1091 covers basic geometry, identifying intersecting lines, area of polygons, circumference of circles, and more.
8. PACE 1092 covers identifying three-dimensional figures, calculating surface area, volume, and more.
9. PACE 1093 covers functional notation, graphing vertical and horizontal lines, lines of symmetry, rotational symmetry, linear equations, and more.
10. PACE 1094 covers length, weight & volume, the metric system, converting Celsius degrees to Fahrenheit degrees, and more.
11. PACE 1095 covers calculating profit and loss on sales, markups, amount of discounts, sale price & regular prices, percents, and more.
12. PACE 1096 covers determining interest payments on loans and mortgages, determining the basis of property taxes, calculating property taxes, different types of car insurance, and more.

Math PACES 1097-1108 paperback booklets cover:

• Monomial and polynomial expressions.
• Algebraic addition, subtraction, multiplication, and division.
• Complex fractions: reducing, simplifying, and solving word problems.
• Algebraic graphs-linear equations, consistent, inconsistent, and dependent in word problems.
• Quadratic equations, factoring, positive and negative numbers, averages, percents, interest, ratios, and proportions, and translating word problems to algebraic equations.
• The Pythagorean theorem

1. Algebra 1 PACE 1097 covers algebraic operations; algebraic expressions; radicals; simplifying expressions; positive and negative numbers; polynomials; and more.
2. Algebra 1 PACE 1098 covers verifying the root of an equation; solving simple equations by transposing terms and canceling identical terms; using the Multiplicative Axiom of Equality to change the signs in an equation; removing parentheses; solving word problems with sums and differences of two unknown numbers; applying algebra to word problems; and more.
3. Algebra 1 PACE 1099 covers adding and subtracting monomials with unknown and numerical exponents; arranging polynomials in order; subtracting, multiplying, and dividing polynomials; and more.
4. Algebra 1 PACE 1100 covers simplifying and evaluating algebraic expressions; multiplying two binomials; square and multiplying binomials; factoring trinomials with positive and negative terms; and do more complex factoring of polynomials.
5. Algebra 1 PACE 1101 covers reducing fractions to lowest terms; factoring polynomials; finding the LCM of a group of numbers; adding and subtracting fractions with unlike denominators; simplifying complex fractions; solving fractional equations.
6. Algebra 1 PACE 1102 covers graphing numbers on a number line; graphing linear equations of one and two variables on a coordinate plane; solving for one unknown in in terms of the other unknown before substituting; solving a system of two simultaneous equations by addition when none of the coefficients of like terms are additive inverses.
7. Algebra 1 PACE 1103 covers sets, Venn diagrams, inequalities on a number line; conjunctions and disjunctions plus graphing their solution sets, and graphing the solution set of a system of linear inequalities with two unknowns on a coordinate plane.
8. Algebra 1 PACE 1104 reviews exponents, simplifying fractions, roots, simplifying radical expressions, and using the Pythagorean Theorem.
9. Algebra 1 PACE 1105 covers solving radical equations; solving quadratic equations, and solving word problems with the quadratic formula.
10. Algebra 1 PACE 1106 covers solving word problems involving averages, percents, interest, perimeter, area, volume, bodies in motion, two-digit numerals, and common two-number word problems.
11. Algebra 1 PACE 1107 covers simplifying ratios, solving proportions with an unknown, understanding the direct and inverse variation which can exist between two variables in a given equation.
12. Algebra 1 PACE 1108 reviews the concepts found in the previous Algebra 1 PACEs.