MATH and PRE-ALGEBRA LEARNING OBJECTIVES

MATH 1

Book 1 – Problem Solving

•  Describe the formal problem-solving approach.
•  Select appropriate problem-solving strategies.

Book 2 – Whole Numbers and Addition

•  Interpret the meaning of numbers found in the real world.
•  Solve problems requiring whole number addition.
•  Interpret and solve addition problems involving large numbers.

Book 3 – Multiplication, Subtraction, and Division

•  Solve problems requiring multiplication.
•  Solve problems requiring subtraction.
•  Solve problems requiring division.

Book 4 – Putting Basic Operations to Work

•  Select and use the correct basic operation required to solve problems.
•  Solve problems requiring two different operations.
•  Solve complex problems requiring more than two basic operations.

Book 5 – Fractions

•  Solve problems requiring the multiplication of fractions.
•  Solve problems requiring the addition of fractions.
•  Solve problems requiring the subtraction of fractions.

Book 6 – Decimals

•  Solve problems requiring regrouping by tens.
•  Solve problems involving basic operations with decimals.
•  Express fractions as decimals.

Book 7 – Estimation

•  Recognize when estimation is appropriate.
•  Determine the level of accuracy required of an estimate based on the situation.
•  Apply three estimation techniques to solve real-life problems.

Book 8 – The Calculator

•  Calculate the solution to problems requiring basic operations.
•  Estimate to check the reasonableness of calculator solutions.
•  Calculate the solution to problems using a memory key.

Book 9 – Percents

•  Solve percent problems.
•  Solve sales tax and tip problems.
•  Solve credit problems.

MATH 2

Book 1 – Monetary Estimation

•  Solve monetary estimation problems involving decimals.
•  Estimate the solution to monetary problems using fractions.
•  Estimate the solution to problems involving percent.

Book 2 – Measurement

•  Measure and convert common quantities using the English System.
•  Measure and convert quantities using the Metric System.
•  Convert English measures to metric and vice versa.

Book 3 – Negative Numbers

•  Add and subtract negative numbers.
•  Locate points on a coordinate grid system and interpret points found on a coordinate grid system.
•  Solve problems involving time.

Book 4 – Plane Geometry

•  Solve problems requiring the calculation of quadrilateral perimeters and areas.
•  Calculate the area and perimeter of a right triangle.
•  Solve problems for two-dimensional shapes requiring the value of pi.

Book 5 – Solid Geometry

•  Calculate the volume of rectangular solids.
•  Calculate the volume of prisms and pyramids.
•  Calculate the volume of cylinders, cones, and spheres.

Book 6 – Consumer Math

•  Solve problems involving comparisons.
•  Solve consumer problems involving cost per unit.
•  Solve ratio problems.

Book 7 – Patterns

•  Solve problems that involve the recognition of patterns.
•  Identify three types of graphs.
•  Solve problems requiring the interpretation of graphs

Book 8 – Sampling Data

•  Interpret data using averages.
•  Determine whether samples are fair representation of the total from which they are drawn.
•  Identify misleading presentations of data.

Book 9 – Probability and Statistics

•  Express probability as a fraction or decimal.
•  Calculate probability in simple games of chance.
•  Solve problems involving probability.

MATH 3

Book 1 – Adding and Subtracting Fractions

•  Express a part of a whole as a fraction.
•  Find fractions on number lines.
•  Generate fraction families.
•  Add or subtract fractions and mixed numbers.

Book 2 – Adding and Subtracting Fractions

•  Add fractions with numerators of 1.
•  Add fractions with unlike denominators.
•  Subtract common fractions.
•  Use the general case method to add or subtract fractions.

Book 3 – Mixed Numbers

•  Interpret quantities represented on a number line.
•  Convert improper fractions to mixed numbers, and vice versa.
•  Regroup whole numbers and mixed numbers.
•  Estimate sums of mixed numbers.
•  Add and subtract mixed numbers.
•  Apply knowledge of fractions to everyday problems.

Book 4 – Review

•  Interpret fractions as parts of a whole, as division, and as ratios.
•  Apply another method to add and subtract mixed numbers.
•  Find the circumference of a circle using the ratio pi.

Book 5 – Multiplying and Dividing Fractions

•  Recognize basic math terminology.
•  Multiply and divide one fraction by another.
•  Multiply and divide a whole number by a fraction.
•  Multiply and divide by mixed numbers.
•  Solve word problems.

Book 6 – Multiplying and Dividing Fractions

•  Use cancellation to simplify fraction problems.
•  Apply additional methods for multiplying and dividing fractions and mixed numbers.
•  Find reciprocals of numbers.
•  Use reciprocals to simplify compound fractions.

Book 7 – Decimals and Graphs

•  Write fractions as decimals.
•  Add, subtract, multiply, and divide decimals.
•  Interpret pie charts and line and bar graphs.
•  Use graphs to find information.

Book 8 – Ratio and Proportion

•  Determine when fractions are equivalent.
•  Convert fractions to decimals and decimals to fractions.
•  Convert decimals to percents and percents to decimals.
•  Solve for unknowns in problems involving the four basic operations.

Book 9 – Percentage Problems I

•  Apply the basic formula for finding percent.
•  Apply formulas to find the part, the whole, or the percent.
•  Apply knowledge of percent formula to solve everyday problems.

Book 10 – Percentage Problems II

•  Apply formula for calculating property taxes and assessed value.
•  Apply formula for calculating interest, principal, rate, and time.
•  Apply formula for calculating discounts and markups.

PRE-ALGEBRA

Book 1 – Signed Numbers

•  Identify signed numbers on the number line.
•  Interpret absolute value.
•  Add, subtract, multiply, and divide signed numbers.
•  Find unknown quantity using inverse operations.
•  Substitute values and evaluate to check an answer.

Book 2 – Basic Algebra

•  Apply appropriate sequence of operations.
•  Calculate square roots by estimating and averaging.
•  Simplify polynomials.
•  Use simultaneous equations to solve for unknowns.
•  Solve a literal equation for a designated variable.
•  Apply the Pythagorean Theorem.

Book 3 – Geometry

•  Determine degrees in an angle.
•  Find lengths of sides of triangles using properties of similar triangles and the Pythagorean Theorem.
•  Determine whether two triangles are similar using the Pythagorean Theorem and cross-multiplication.
•  Find the perimeter and area of geometric figures.

Book 4 – Measurement

•  Convert one measurement to another.
•  Find unit values.
•  Solve problems involving different measures.
•  Computer perimeter, area, and volume for various objects.

Book 5 – Problem Solving

•  Translate literal statements into algebraic statements.
•  Substitute values in algebraic statements and evaluate.
•  Solve everyday problems using problem-solving approach.
•  Solve word problems involving more than one unknown. 

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