This resource provides examples of assessment items for Grade 4 Cluster 5. …

This resource provides examples of assessment items for Grade 4 Cluster 5. We recommend that you do not give the assessment at one time, but instead use the items as exit tickets or tasks during the cluster. This is remixable if you maintain the rigor of the items.

This Common Formative Assessment (CFA) provides examples of assessment items for decimals …

This Common Formative Assessment (CFA) provides examples of assessment items for decimals in Grade 5 Cluster 5. This is remixable if you maintain the rigor of the items.

This Common Formative Assessment (CFA) provides examples of assessment items for fractions …

This Common Formative Assessment (CFA) provides examples of assessment items for fractions in Grade 5 Cluster 5. This is remixable if you maintain the rigor of the items.

This article highlights the four recommended research-based practices described in the How …

This article highlights the four recommended research-based practices described in the How to Organize Your Teaching U.S. Dept. of Education What Works web site.

For this assessment, students measure objects around the classroom in inches, then …

For this assessment, students measure objects around the classroom in inches, then in feet. Students write to explain why measuring in inches is different than measuring in feet.

For this assessment, students measure objects at their desks in centimeters, then …

For this assessment, students measure objects at their desks in centimeters, then in inches. Students write to explain why measuring in centimeters is different from measuring in inches.

This video has been created by NCDPI. Watch this video to learn …

This video has been created by NCDPI. Watch this video to learn about the intended purpose of NCDPI's K-2 mid-year and summative math assessments. This video describes suggestions for administration, scoring, and next steps.

CK-12 Life Science Honors For Middle School covers seven units: Understanding Living …

CK-12 Life Science Honors For Middle School covers seven units: Understanding Living Things; Cells: The Building Blocks of Life; Genetics and Evolution; Prokaryotes, Protists, Fungi, and Plants; The Animal Kingdom; The Human Body; and Ecology.

This article discusses explicitly teaching and assessing listening comprehension skills in the …

This article discusses explicitly teaching and assessing listening comprehension skills in the elementary grades and provides templates for classroom use.

Four full-year digital course, built from the ground up and fully-aligned to …

Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.

Algebraic Reasoning Type of Unit: Concept Prior Knowledge Students should be able …

Algebraic Reasoning

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Add, subtract, multiply, and divide rational numbers. Evaluate expressions for a value of a variable. Use the distributive property to generate equivalent expressions including combining like terms. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Write and solve equations of the form x+p=q and px=q for cases in which p, q, and x are non-negative rational numbers. Understand and graph solutions to inequalities x<c or x>c. Use equations, tables, and graphs to represent the relationship between two variables. Relate fractions, decimals, and percents. Solve percent problems included those involving percent of increase or percent of decrease.

Lesson Flow

This unit covers all of the Common Core State Standards for Expressions and Equations in Grade 7. Students extend what they learned in Grade 6 about evaluating expressions and using properties to write equivalent expressions. They write, evaluate, and simplify expressions that now contain both positive and negative rational numbers. They write algebraic expressions for problem situations and discuss how different equivalent expressions can be used to represent different ways of solving the same problem. They make connections between various forms of rational numbers. Students apply what they learned in Grade 6 about solving equations such as x+2=6 or 3x=12 to solving equations such as 3x+6=12 and 3(x−2)=12. Students solve these equations using formal algebraic methods. The numbers in these equations can now be rational numbers. They use estimation and mental math to estimate solutions. They learn how solving linear inequalities differs from solving linear equations and then they solve and graph linear inequalities such as −3x+4<12. Students use inequalities to solve real-world problems, solving the problem first by arithmetic and then by writing and solving an inequality. They see that the solution of the algebraic inequality may differ from the solution to the problem.

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