Morgan County School District Re-3 Pre-Algebra 9 Month Content and Essential Questions Skills September How to use variables and variable expressions. How to perform operations with integers. How to graph points in the coordinate plane? S. 1a,1b.. Identify variables, numerical expressions and variable expressions. (M) Write variable expressions for word phrases. (M) Simplify expressions. Using the order of operations. (M) Evaluate variable expressions. (M) Solve word problems by evaluating expressions. (M) Represent, graph and order integers. (M) Find opposites and absolute values. Using models to add integers. (M) Use rules to add integers. (M) Use models to subtract integers. (M) Use a rule to subtract integers. (M) Write rules for patterns. (M) Make predictions and testing conjectures. (M) Multiply integers using repeated addition, patterns, and rules. (M) Divide integers. (M0 Name coordinates and quadrants in the coordinate plane. (M) Graph points in the coordinate plane. (M) How do I solve one-step equations and inequalities? S. 2.1a. Identify Properties. (R) Use Properties. Numerical expressions. Variable expressions. (R) Identify parts of a variable expression. (R) Simplify variable expressions. (R) Classify types of equations. (R) Check equations using substitution. (R) Use subtraction and addition to solve Assessment In class work, assignments, group projects, periodic quizzes and cumulative tests. Resources Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 Morgan County School District Re-3 Month Content and Essential Questions Pre-Algebra 9 Skills Assessment Resources equations. (M) Use division and multiplication to solve equations. (M) Graph inequalities. (M) Write inequalities. (R) Use subtraction and addition to solve inequalities. (M) Use division and multiplication to solve equations. (R) October How do I use decimals and equations? S. 2.1a, 3.1a, 3.4a, 3.4b, 5.2a, 6.2a. November What do factors, fractions and exponents have to do with anything? S. 1.1a, 1.1b, 1.1c, 1.2a, 3.6a, 5.1a, 6.2a. Round decimals. (M) Estimate sums, differences, products and quotients. (M) Find mean, median and mode. (M) Choose the best measure. (R) Substitute into formulas. (R) Use a perimeter formula. (M) Use subtraction and addition to solve equations. (M) Use division and multiplication to solve equations. (M) Identify appropriate metric measures. (R) Convert units. (R) Use divisibility tests. (M) Find factors. (M) Use exponents and order of operations. (M) Find prime factorizations and greatest common factors. (M) Find equivalent fractions and writing fractions in simplest form. (M) Identify and graphing rational numbers. (R) Evaluate fractions containing variables. (R) Multiply powers with the same base. (R) Find a power of a power. (R) Divide expressions containing exponents. (R) In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 Morgan County School District Re-3 Month Content and Essential Questions December How do we add, subtract, multiply and divide fractions? S. 1.1a, 2.1a. January What are ratios, proportions and percents? S. 3.5a, 3.5c, 6.1a. February How do I solve equations and inequalities? S. 2.1a, 2.5a, 6.2a. Pre-Algebra 9 Skills Simplify expressions with integral exponents. (I) Write, Evaluate, and calculate with scientific notation. (R) Find the least common denominator. (M) Compare fractions. Writing fractions as decimals. (M) Write decimals as fractions. (M) Add and subtract fractions. (M) Add and subtract mixed numbers. (M) Multiply rational numbers. (M) Divide rational numbers. (M) Identify appropriate measures. (M) Convert units. (R) Use subtraction and addition to solve equations. (R) Use multiplication and division to solve equations. (R) Find powers of products and quotients. (R) Write ratios. (M) Find rates and unit rates. (R) Solve proportions. (M) Use similar figures and scale drawings. (R) Find probability and odds. (M) Write percents as fractions and decimals. (M) Write fractions and decimals as percents. (M) Write and solve percent equations. (R) Find percent of change. (R) Find markups and discounts. (M) Use properties to solve two step equations. (R) Combine like terms in equations and use the distributive property. (R) Assessment Resources In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson Morgan County School District Re-3 Month March Content and Essential Questions What are linear functions and how do I graph them? S. 2.1a, 2.2a, 2.2b, 2.3a, 2.3b, 5.1b, 6.1c. Pre-Algebra 9 Skills Solve multi-step equations with fractions and decimals. (R) Solve equations with variables on both sides. (R) Solve two step inequalities. (R) Solve formulas for a given variable. (R) Compute simple and compound interest. (R) Identify relations and functions. (R) Find solutions to linear equations and graphing them. (R) Find the slope of a line and using it to graph the line. (R) Write equations from words, tables and graphs. (R) Interpret and drawing scatter plots, and using them to find trends. (R) Graph systems of linear equations. (R) Write systems of linear equations. (R) Graph linear inequalities and systems of linear inequalities. (R) What is spatial thinking? S. 1.3a, 4.1a, 4.2a, 4.3a, 4.3b, 5.2a. Comprehend points, lines and planes. (M) Identify parallel, intersecting and skew lines. (M) Recognize adjacent and vertical angles. (R) Use relationships between angles and parallel lines. (R) Classify triangles and quadrilaterals. (M) Identify corresponding parts of congruent figures. (M) Use congruent triangles. (R) Find circumference and making circle graphs. (M) Assessment Resources 2001 In class work, assignments, group projects, periodic quizzes and cumulative tests. In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 Morgan County School District Re-3 Month April Content and Essential Questions What is area and volume? S. 1.3a. What are some of the applications of right triangles? S. 4.2b, 4.4, 6.1a, 1.1a, 1.6a. May What are my chances? S. 3.1a, 3.1b, 3.1c, 3.2a, 3.2b, 3.2c, 3.4a, 3.4b, 3.5a, 3.5c, 3.6a. Pre-Algebra 9 Skills Use congruent figures. (R) Make translations. (R) Draw lines of symmetry. (R) Rotate rotations. (R) Find areas of rectangles, parallelograms, triangles, trapezoids, circles, and irregular figures. (M) Identify space figures. (M) Find surface areas of prisms, cylinders, pyramids, cones and spheres. (R) Find volumes of prisms, cylinders, pyramids, cones and spheres. (R) Find square roots (R) classify real numbers (M) use the Pythagorean theorem (M) identify right triangles (M) find the distance and midpoint (R) write a proportion (M) use special right triangles (I) find ratios and use them in right triangles (R) find angles of elevation and depression. (I) Use frequency tables, line plots, and box and whisker plots. (M) Use graphs to persuade. (R) Count outcomes and theoretical probability. (R) Understand independent and dependent events. (M) Formulate permutations and combinations. (R) Find experimental probability. (R) Choose random samples and surveys. (R) Simulate problem solving strategies. (R) Assessment In class work, assignments, group projects, periodic quizzes and cumulative tests. Resources Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 In class work, assignments, group projects, periodic quizzes and cumulative tests. In class work, assignments, group projects, periodic quizzes and cumulative tests. Prentice Hall Pre-Algebra Davison, Landau, McCracken and Thompson 2001 Morgan County School District Re-3 Pre-Algebra 9