Course Title

6th Grade Math Course Outcomes

1 SWBAT apply understandings of numbers to the system of rational numbers. 2 SWBAT compute fluently with multi-digit numbers and find common factor multiples. 3 SWBAT apply multiplication and division to include fractions and decimals exclusively from one another. 4 SWBAT extend understandings of arithmetic to identify and evaluate algebraic expressions. 5 SWBAT solve one-variable equations and inequalities using dependent and independent variables. 6

SWBAT develop concepts of ratio and rate in order to solve a variety of problems and to initiate an understanding of percent.

7 SWBAT recognize the use of statistical variability and examine distributions. 8

SWBAT solve real world and mathematical problems involving area, surface area and volume.

Unit Concept (or Essential Question) & Unit Goal 1. Decimals: Addition and Subtraction SWBAT apply addition and subtraction properties to solve problems with decimals. 2. Decimals: Multiplication and Division SWBAT apply multiplication and division properties to solve problems with decimals. 3. Factors, Exponents, and Expressions SWBAT write factors, exponents, and evaluate expressions 4. Fractions: Addition and Subtraction SWBAT apply addition and subtraction properties to solve problems with fractions. 5. Fractions: Multiplication and Division SWBAT apply multiplication and division properties to solve problems with fractions. 6. Operations with Integers SWBAT compute expressions with integers. 7. Inequalities SWBAT solve one-variable equations and inequalities using dependant and independent variables. 8. Ratios, Rates, and Percents SWBAT analyze ratios, rates, and percents. 9. Two-Dimensional and Three-Dimensional Shapes SWBAT analyze the relationships between two-dimensional and three-simensional shapes. 10. Data Analysis and Graphs SWBAT apply principles of data analysis to model and solve problems using various representations such as graphs, tables, and equations.

Course Title

7th Grade Math Course Outcomes

1 SWBAT generate equivalent expressions using properties of operations. 2

SWBAT solve real-world and mathematical problems using numerical algebraic expressions, expressions, and equations that utilize rational numbers.

3 SWBAT interpret proportional relationships. 4 SWBAT describe geometrical figures and the relationship between them. 5 SWBAT solve real world and mathematical problems involving angle measurement, area, surface area and volume. 6 SWBAT draw both direct and comparative inferences using random sampling of one or more populations. 7

SWBAT investigate chance processes in order to develop, use, and evaluate probability models.

Unit Concept (or Essential Question) & Unit Goal 1. Translating and Simplifying Numerical Expressions SWBAT represent algebraic expressions in verbal, numerical, and simplest forms.. 2. Complex Operations Using Integers SWBAT apply operations to simplify numerical expressions containing integers. 3. Complex Operations Using Decimals SWBAT apply operations to simplify numerical expressions containing decimals. 4. Factors, Fractions, and Equivalent Forms SWBAT write rational numbers in equivalent forms (convert fractions to decimals and vice versa). 5. Complex Operations Using Fractions SWBAT apply operations to simplify numerical expressions containing fractions. 6. Algebraic Expressions, Equations, and Inequalities SWBAT simplify algebraic expressions and solve equations and inequalities. 7. Ratios and Proportions SWBAT apply knowledge of ratios to write and solve proportions. 8. Percentages SWBAT apply principles of percentages to solve real-world problems. 9. Elements of Two-Dimensional and Three-Dimsional Geometric Figures SWBAT solve real-world and mathematical problems involving angle measurement, area, surface area, volume and transformations. 10. Data Analysis Probability 11. SWBAT draw inferences about a population to evaluate chance processes and probability models.

Course Title

8th Grade Math Course Outcomes

1

SWBAT compare and contrast rational and irrational numbers.

2 SWBAT solve problems using rational and integer components. 3 SWBAT solve and graph functions of linear equations and systems of linear equations. 4 SWBAT utilize knowledge of exponents and radicals and be able to apply the Pythagorean theorem. 5 SWBAT solve real-world and mathematical problems involving geometric formulas and measurement. 6 SWBAT illustrate congruence and similarity using physical models and other tools. 7 SWBAT analyze patterns of association in bivariate data.

Unit Concept (or Essential Question) & Unit Goal 1. Operations and comparisons of rational numbers SWBAT solve problems using integers, rational numbers, absolute value, and the coordinate system. 2. Expressions and properties SWBAT apply addition and multiplication properties to simplify expressions. 3. Equations and inequalities SWBAT solve one, two, and multi-step equations and inequalities including variables on both sides, distributive property, and graphing inequality solutions. 4. Ratios, proportions, and percents SWBAT analyze rates, proportions, similarity and congruence. 5. Percentages SWBAT apply percentages to real-world situations. 6. Lines and linear equations SWBAT explain functions, slope, intercept, and function notation. 7. Systems and Linear Inequalities SWBAT graph systems of 2 equations and linear inequalities. 8. Identifying, simplifying, and estimating irrational numbers SWBAT analyze irrational numbers by identifying, simplifying, and estimating. 9. Geometric formulas and measurement to include Pythagorean Theorem SWBAT apply geometric formulas to two- and three-dimensional figures, including circles, triangles, rectangles, cylinders, and triangular and rectangular prisms. 10. Bi-variate data and probability 11. SWBAT analyze scatter plots, probability and odds, and counting principles.