Mathematics Curriculum Overview: Grades 5-8

Grade 5 Content Standards Overview

• Write and interpret numerical expressions.
• Analyze patterns and relationships.

• Understand the place value system.
• Perform operations with multi-digit whole numbers and with decimals to hundredths.

• Use equivalent fractions as a strategy to add and subtract fractions.
• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

• Gain familiarity with concepts of positive and negative integers.

• Convert like measurement units within a given measurement system.
• Represent and interpret data.
• Geometric measurement: Understand concepts of volume and relate volume to multiplication and to addition.

• Graph points on the coordinate plane to solve real-world and mathematical problems.
• Classify two-dimensional figures into categories based on their properties.

            
Sherwood Middle School Grade 5 Report Card Standards

• Reads, writes, rounds, and compares whole numbers in various forms.
• Reads, writes, rounds, and compares decimals in various forms.
• Solves problems using place value patterns, models, and multiplication with whole numbers.
• Solves problems using place value patterns, models, and division with whole numbers.
• Solves problems using models and addition and subtraction with fractions.
• Solves problems using models and multiplication and division with fractions.
• Solves problems using place value patterns, models, and multiplication and division with decimals.
• Represents volume concepts and solves problems involving volume of right rectangular prisms.

• Understand ratio concepts and use ratio reasoning to solve problems.                    

• Apply and extend previous understandings of multiplication and division to divide fractions by fractions.    
• Compute fluently with multi-digit numbers and find common factors and multiples.
• Apply and extend previous understandings of numbers to the system of rational numbers.

• Apply and extend previous understandings of arithmetic to algebraic expressions.            
• Reason about and solve one-variable equations and inequalities.
• Represent and analyze quantitative relationships between dependent and independent variables.            

• Solve real-world and mathematical problems involving area, surface area, and volume.   

• Develop understanding of statistical variability.
• Summarize and describe distributions.

Sherwood Middle School Grade 6 Report Card Standards

• Applies relationships between factors and multiples, and evaluates expressions to solve problems.
• Solves problems using fractions, decimals, and ratios to measure and compare quantities.
• Solves problems using estimation and arithmetic operations with fractions.
• Solves problems using estimation and arithmetic operations with decimals and percents.
• Represents and analyzes one-variable equations and inequalities.
• Solves problems involving area, surface area, and volume.
• Represents, describes, and analyzes data distributions.

• Analyze proportional relationships and use them to solve real-world and mathematical problems.

• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

• Use properties of operations to generate equivalent expressions.
• Solve real-world and mathematical problems using numerical and algebraic expressions and equations.    

• Draw, construct and describe geometrical figures and describe the relationships between them.
• Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.

• Use random sampling to draw inferences about a population.
• Draw informal comparative inferences about two populations.
• Investigate chance processes and develop, use, and evaluate probability models.

Oak Middle School Grade 7 Report Card Standards

• Applies understanding of the number system to rational numbers.
• Uses scale factors, unit rates, and proportional reasoning to compare quantities and describe relationships.
• Uses tables, graphs, and equations to solve problems.
• Evaluates probability models and makes inferences based on data.
• Analyzes the properties of two- and three-dimensional figures.

• Know that there are numbers that are not rational, and approximate them by rational numbers.

• Work with radicals and integer exponents.
• Understand the connections between proportional relationships, lines, and linear equations.
• Analyze and solve linear equations and pairs of simultaneous linear equations.

• Define, evaluate, and compare functions.  Use functions to model relationships between quantities.

• Understand congruence and similarity using physical models, transparencies, or geometry software.
• Understand and apply the Pythagorean Theorem.
• Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

• Investigate patterns of association in bivariate data.

Two mathematics courses are offered in grade 8: Grade 8 Math and Grade 8 Honors Math.  The standards and units of instruction for both courses are the same, although the honors course moves at a faster pace and incorporates a range of extension topics within each standard.

Oak Middle School Grade 8 Report Card Standards

• Solves equations and evaluates expressions including those involving grouping symbols.
• Represents linear functions using tables, graphs, equations and scenarios.
• Understands and applies the properties of exponents to recognize/generate equivalent expressions.
• Understands and applies the Pythagorean Theorem.
• Understands transformations, congruence and similarity of two-dimensional figures.
• Analyzes and solves systems of linear equations.
• Analyzes data using two-way tables and scatter plots.
• Recognizes and writes expressions for nonlinear patterns.