**MATH and PRE-ALGEBRA LEARNING OBJECTIVES**

**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.

**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.

**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.

**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.** **