7th Grade Math Learning Targets

Middle School Learning Targets - 7^th Grade Mathematics (Math 7)

Link to Rubrics

Communicates clearly and explains my reasoning so others can follow how a problem is solved.

• Use appropriate mathematical language
• Use appropriate forms of mathematical representation to present information correctly
• Move between different forms of mathematical representation
• Communicate through lines of reasoning that are complete and coherent
• Present work that is usually organized using a logical structure.

 

Reasons mathematically to solve problems in real-life context.

• Identify the relevant elements of the authentic real-life situation
• Select adequate mathematical strategies to model the authentic real-life situation
• Apply the selected mathematical strategies to reach a valid solution to the authentic real-life situation
• Explain the degree of accuracy of the solution
• Explain whether the solution makes sense in the context of the authentic real-life situation.

 

Recognizes patterns and describes them as relationships or general rules.

• Select and apply mathematical problem-solving techniques to correctly identify the pattern.
• Pattern is described as a relationship or general rule
• Verify the validity of these general rules.
• Conclusions are consistent with the correct findings.

 

Analyzes proportional relationships and uses them to solve real-world and mathematical problems.

• Solve problems in authentic contexts involving unit rates associated with ratios of fractions.
• Recognize and represent proportional relationships between quantities in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Identify the constant of proportionality (unit rate) within various representations.
• Use proportional relationships to solve ratio and percent problems in authentic contexts.
• Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Represent probabilities as fractions, decimals, and percents.
• Use experimental data and theoretical probability to make predictions. Understand the probability predictions may not be exact.
• Develop a probability model and use it to find probabilities of events. Compare theoretical and experimental probabilities and explain possible sources of discrepancy if any exists.
• Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

 

Applies and extends previous understandings of operations with fractions.

• Apply and extend previous understandings of addition, subtraction and absolute value to add and subtract rational numbers in authentic contexts. Understand subtraction as adding the additive inverse, p – q = p + (–q).
• Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Interpret operations of rational numbers solving problems in authentic contexts.
• Understand that equivalent rational numbers can be written as fractions, decimals and percents.

 

Uses properties of operations to generate equivalent expressions, and solves real-world mathematical problems using numeric and algebraic expressions and equations.

• Identify and write equivalent expressions with rational numbers by applying associative, commutative, and distributive properties. 
• Understand that rewriting an expression in different forms in a contextual problem can show how quantities are related. 
• Write and solve problems in authentic contexts using expressions and equations with positive and negative rational numbers in any form. Contexts can be limited to those that can be solved with one or two-step linear equations. 
• Use variables to represent quantities and construct one and two-step linear inequalities with positive rational numbers to solve authentic problems by reasoning about the quantities.

 

Draws, constructs, and describes geometric figures and relationships between them, and solves problems involving angle measure, area, surface area, and volume.

• Solves problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
• Draws, with a variety of tools, geometric shapes with given conditions.  Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
• Describes the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms, and right rectangular pyramids.
• Knows the formulas for the area and circumference of a circle and uses them to solve problems; gives an informal derivation of the relationship between the circumference and the area of a circle.
• Uses facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
• Solves real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

 

Develops understanding of statistical variability and investigates chance processes to develop, use, and evaluate probability models.

• Formulate summary, comparative investigative questions to gain information about a population and that a sample is valid only if the sample is representative of that population.
• Collect or consider data from a random sample to compare and draw inferences about a population with an unknown characteristic of interest.
• Analyze two data distributions visually to compare multiple measures of center and variability.
• Interpret measures of center and measures of variability for numerical data from random samples to compare between two populations, and to answer investigative questions.