Numbers and Operations
Ratios, Proportions and Percent: Compute unit rates associated with ratios of fractions. Recognize and represent proportional relationships between quantities. Use proportional relationships to solve multistep ratio and percent problems.
Rational Numbers: Solve real-world and mathematical problems involving the four operations with rational numbers.
Algebraic Expressions and Equations: Model and solve real world and mathematical problems using multiple representations such as algebraic, graphical and using tables. Solve multi-step equations or inequalities with one variable. Solve and interpret multi-step real life and mathematical problems posed with positive and negative rational numbers.
Area, Surface Area, Volume, Angle Measure, Circumference: Use properties of angle types and properties of angles formed when two parallel lines are cut by a transversal line to solve problems. Solve problems involving area and circumference of a circle(s). Solve mathematical problems involving area, volume and surface area of two- and three-dimensional objects. Describe the two-dimensional figures that result from slicing three-dimensional figures.
Measurement, Data and Probability
Data, Distributions and Random Sampling: Draw inferences about two populations based on random sampling concepts. Determine and approximate relative frequencies and probabilities of events, Find the probability of a simple event, including the probability of a simple event not occurring.
Probability: Find probabilities of independent compound events. Predict the approximate relative frequency given the probability.
Analyze proportional relationships and use them to model and solve real-world and mathematical problems.
Apply and extend previous understandings of operations with fractions to operations with rational numbers.
CC.2.2.7.B.3 Model and solve real world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.
Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.
Visualize and represent geometric figures and describe the relationships between them.
Draw inferences about populations based on random sampling concepts.
Investigate chance processes and develop, use, and evaluate probability models.
Standards for Mathematics Practices
Make sense of problems and persevere in solving them.
Communicate that students' thinking is valued to build trust and rapport by asking questions that elicit students' thinking, such as when students are analyzing proportional relationships.
Construct viable arguments and critique the reasoning of others.
Elevate students by valuing different contributions students make when they share representations and make connections between these representations (for example, tables, graphs, equations, and verbal descriptions of proportional relationships).
Model with mathematics.
Bring in students' knowledge by ensuring materials and problems have a connection with learners while also providing opportunities to learn about the broader world, such as when solving rich tasks involving geometric measurement that have a significant modeling component.