7th- Fourth 9 weeks
7th- Fourth 9 weeks
This curriculum map is a constantly monitored and edited document by building specific administration and teachers. Changes may occur throughout the school year to stay updated with state requirements. Any questions regarding content should be directed towards the teacher of your child’s class or content area.
Unit 10 Slope
Rational and Irrational numbers
Tree diagrams
7.NS.2
*Given a perfect square integer, I can find the square root.
*I can explain the relationship between squaring and finding the square root.
*I can identify when only the principal square root is appropriate to find.
7.NS.3
*I can classify a number as rational or irrational.
*I can use estimated values to compare and order two or more rational and/or irrational numbers.
*I can plot estimates of irrational numbers on a number line.
7.DSP.6
*I can collect data to approximate probability.
*I can use probability to predict the number of times an event will occur.
7.DSP.7
*I can identify outcomes based on a possible event.
*I can create a tree diagram to represent the sample space of simple events.
*I can investigate, develop, and use probabilities to help me solve problems.
*I can compare theoretical probabilities to observed frequencies.
*I can develop a probability model and use it to determine the probability of an event occurring
7.AF.8
*I can explain what the points on a graph of a proportional relationship mean in terms of a specific situation.
*I can recognize that (1, r) on a graph represents the unit rate, r.
*I can explain the significance of the point (0, 0) on the graph of proportional relationship.
7.AF.9
*I can identify real-world situations that involve proportional relationships.
*I can represent proportional relationships by writing equations.
*I can draw graphs that represent proportional relationships.
*I can explain how the graph of a proportional relationship relates to the linear function
y = mx.
*Given an equation or graph, I can solve real-world problems involving proportional relationships.
*I can see the relationship between the unit rate and the slope, m.
7.AF.3
*I can use variables to represent numbers in real-world or mathematical problems and make simple inequalities to solve problems.
*I can graph and interpret the solution set of an inequality in the context of a problem.
*I can solve an inequality for an unknown value, without context.
7.AF.4
*I can express slope as vertical change per unit of horizontal change.
*I can classify situations as having a constant rate of change (being linear) or as having a varying rate of change (being non-linear).
*I can explain the vertical change and the horizontal change in a real-world context.
*I can describe situations that would have a constant rate of change.
*I can describe situations that would have a varying rate of change.
7.AF.5
*I can find the slope of a line given a graph.
*I can graph a line given its slope and one other point on the line.
7.AF.6
*I can recognize a proportional relationship given a table by testing for equivalent ratios.
*I can recognize a proportional relationship given a graph.
*I can identify equivalent proportional relationships across representations.
7.NS.2: Understand the inverse relationship between squaring and finding the square root of a perfect square integer. Find square roots of perfect square integers.
7.NS.3: Know there are rational and irrational numbers. Identify, compare, and order rational and common irrational numbers (√2, √3, √5, ∏) and plot them on a number line.
7.AF.3: Solve inequalities of the form px +q (> or ≥) r or px + q (< or ≤) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem.
7.AF.4: Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change.
7.AF.5: Graph a line given its slope and a point on the line. Find the slope of a line given its graph
7.AF.6: Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin).
7.AF.8: Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate.
7.AF.9:Identify real-world and other mathematical situations that involve proportional relationships. Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the line.
7.DSP.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its relative frequency from a large sample.
7.DSP.7: Develop probability models that include the sample space and probabilities of outcomes to represent simple events with equally likely outcomes. Predict the approximate relative frequency of the event based on the model. Compare probabilities from the model to observed frequencies; evaluate the level of agreement and explain possible sources of discrepancy.
Please use Khan Academy videos as a resource.
Please use IXL for extra practice.
Please refer to my Canvas page additional notes and examples.