7th Grade Math Learning Targets
ALT 1 - Communication
Communicates clearly and explains reasoning so others can follow how a problem is solved.
AST.1.1 - Language : Uses appropriate mathematical language.
AST.1.2 - Representations : Uses appropriate forms of mathematical representations to present information correctly.
AST.1.3 - Transitions : Moves between different forms of mathematical representations.
AST.1.4 - Lines of Reason : Communicates through lines of reasoning that are complete and coherent.
ALT 2 - Modeling
Reasons mathematically to solve problems in real-life context.
AST 2.1 - Relevant Elements : Identifies the relevant elements of the authentic real-life situation.
AST 2.2 - Strategies : Selects adequate mathematical strategies to model the authentic real-life situation.
AST 2.3 - Reaches a Solution : Applies the selected mathematical strategies to reach a valid solution to the authentic real-life situation.
AST.2.4 - Degree of Accuracy : Explains the degree of accuracy of the solution.
AST 2.5 - Making Sense : Explains whether the solution makes sense in the context of the authentic real-life situation.
ALT 3 - Patterns
Recognizes patterns and describes them as relationships or general rules.
AST.3.1 - Pattern ID : Selects and applies mathematical problem-solving techniques to correctly identify the pattern.
AST.3.2 - Description : Pattern is described as relationship or general rule.
AST 3.3 - Verification : Verifies the validity of these general rules.
AST.3.4 - Conclusions : Conclusions are consistent with the correct findings.
ALT 4 - Proportional Relationships
Analyzes proportional relationships and uses them to solve real-world and mathematical problems.
AST 9.1 - Unit Rates : Computes unit rate associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
AST 4.2 - Notice Proportionality : Recognizes and represents proportional relationships between quantities.
AST 4.3 - Applications : Uses proportional relationships to solve multi-step ratio and percent problems.
ALT 5 - Operations with Fractions
Applies and extends previous understandings of operations with fractions.
AST 5.1 - Addition and Subtraction : Applies and extends previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
AST 5.2 - Multiplication and Division : Applies and extends previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
AST 5.3 - Applications : Solves real-world and mathematical problems involving the four operations with rational numbers.
ALT 6 - Expressions and Equations
Uses properties of operations to generate equivalent expressions, and solves real-world mathematical problems using numeric and algebraic expressions and equations.
AST 6.1 - Algebraic Operations : Applies properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
AST 6.2 - Applications of Equivalent Forms : Understands that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
AST 6.3 - Modeling with Rational Numbers : Solves multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form using tools strategically. Applies properties of operations; converts between forms as appropriate; and assesses the reasonableness of answers.
AST 6.4 - Algebraic Modeling : Uses variables to represent quantities in a real-world or mathematical problems, and constructs simple equations and inequalities to solve problems by reasoning about the quantities.
ALT 7 - Geometric Figures and Measurement
Draws, constructs, and describes geometric figures and relationships between them, and solves problems involving angle measure, area, surface area, and volume.
AST 7.1 - Scale Drawings : 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.
AST 7.2 - Construction, Constraints and Congruence : 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.
AST 7.3 - Slicing Solids : Describes the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms, and right rectangular pyramids.
AST 7.4 - Circle Area and Circumference : 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.
AST 7.5 - Finding Angles : 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.
AST 7.6 - Volume and Surface Area : 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.
ALT 8 - Statistics and Probability
Develops understanding of statistical variability and investigates chance processes to develop, use, and evaluate probability models.
AST 8.1 - Random Sampling : Understands that statistics can be used to gain information about a population by examining a random representative sample of a population.
AST 8.2 - Comparing Results from Random Samples : Uses data from a random sample to draw inferences about a population. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
AST 8.3 - Center and Spread : Informally assesses visual overlap of two data distributions with similar variabilities, expressing the differences between centers as a multiple of a measure of variability.
AST 8.4 - Interpreting Center and Variability : Uses measures of center and variability for numerical data from random samples to draw informal comparative inferences about two populations.
AST 8.5 - Interpreting Probabilities : Understands that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
AST 8.6 - Experimental Probability : Approximates the probability of a chance event by collecting data, observing its long-run relative frequency, and predicting the approximate relative frequency.
AST 8.7 - Model vs Reality : Develops a probability model and uses it to find probabilities of events. Compares probabilities from a model to observed frequencies; if the agreement is not good, explains possible sources of the discrepancy.
AST 8.8 - Probability Models and Compound Events : Finds probabilities of compound events using organized lists, tables, tree diagrams, and simulations.