Please see the google calendars for Period 1, 2, and 3 below. These are linked with the Google Classroom that students use to track assignments.
This is a rough outline of our year, but is subject to change. The main priority is to respond to student needs, and we may spend more or less time in certain units as a result. Units are listed under each trimester, with essential questions for that unit listed underneath.
TRIMESTER 1
Community Building/Intro to Data: August and September
What is my relationship with math? Why is it like that? Who am I in data? What are my goals for this school year? What kind of classroom feels best to me? Why is that? What does strong collaboration look like?
Expressions & Equations (7th Common Core)
How do you translate real world problems to algebraic expressions? What are the properties of operations? What is the distributive property and what does it mean to combine like terms? How do you compare algebraic solutions to arithmetic solutions? How can you represent relationships in a world where equations don’t always work?
Probability and Sampling (7th Common Core)
How do you explain real world problems using statistics? How do you interpret data from statistical representations? How do you predict future probabilities based on data?
Rigid Transformations and Congruence (8th Common Core)
What conclusions can you make about the properties of rotations, reflections, and translations of geometric figures? What does it mean for two figures to be similar/congruent? How can you tell from a sequence of transformations if figures are similar, congruent, or both? Does order matter in a sequence of transformations? How is dilation of a figure similar/different to the reflection, rotation, or translation of a figure?
TRIMESTER 2
Scale Drawings
What is a scale? How is it different from "to scale" or "scaled up" or "scaled down?" What is a scale drawing? How do scale drawings represent proportional relationships?
Proportional and Linear Relationships
What does the slope of a proportional relationship mean in the context of a problem? What are some examples of linear relationships that are/are not proportional? How do you know? How can you use the slope of a line to find additional points on the line?How does the concept of slope appear in a graph, table, equation, and scenario? What is similar/different about the equations y=mx and y=mx + b?
Linear Equations and Linear Systems
What is a solution? How can you make assumptions or predictions about the number of solutions at multiple points throughout the process of solving linear equations? What does it mean for a linear equation to have one solution, no solutions, or infinite solutions? What does the point of intersection mean of a graph of a system of two linear equations? Why does a system of linear equations with no solution form parallel lines? Why does a system of linear equations with infinite solutions form the same line?
Functions
How do you know whether a relationship between two quantities is a function or not? Are all linear equations functions? Are all functions linear? How do you know? What does the rate of change and initial value mean in terms of a given situation? How do you read a graph to determine whether a function is increasing or decreasing? What can you infer about a situation, given the descriptive qualities of its graph?
Associations in Data
Why is a scatter plot a good representation of bivariate data? What kind of patterns and associations can you see from looking at a scatter plot? When is it appropriate to use a straight line to model data from a scatter plot? How can you use a linear equation to make predictions about bivariate data?
TRIMESTER 3
Exponents and Scientific Notation (Desmos Unit 7): March/April
Where do the rules for exponents come from? Why do we use scientific notation? Why do we use 10 as a base for numbers expressed in scientific notation?
Pythagorean Theorem and Irrational Numbers (Desmos Unit 8): April/May
How do you know if a number is rational? What does square root actually mean? Are all square roots irrational? Why or why not? What conditions need to be met in order to prove a triangle is a right triangle? Which two lengths are able to be interchanged within the Pythagorean Theorem, and why?