Telescoped Math 7/Algebra 8

 

Course Description:  Mathematics is the study of patterns and relationships.  Mathematicians notice, describe and generalize patterns.  Telescoped Math 7/Alg 8 students will practice these skills each day in class.  Students will be expected to explain their thinking and respond to the mathematical thinking of others.  Ideally, students will notice and describe the patterns and relationships they see around them outside of class as well.  The big theme of grade 7 mathematics is proportionality and the big theme of Algebra 8 is linear relationships.  Students need to be able to work fluently with ratios, rates, scale factors and proportions.  Students will display proportional relationships in tables, equation, graphs and with verbal descriptions. They need to be able to identify linear relationships and solve problems using multiple representations.

 

Unit

Learning Targets

 

Yearlong

Communication Goal

LT0: I can explain my thinking and respond to the mathematical thinking of others. (8%)

Semester 1

1.  2D & 3D Geometry

 

Approximate dates: August 29 – September 19, 2016

LT1.1: I can find measurements and justify formulas involving circumference, area of circles, volume of cylinders, surface area of cylinders, area of sectors of circles and arc length. (14%)

2.  Integers and Rational Numbers

 

Approximate dates: Sept 20 – October 27, 2016

LT2.1: I can compare and calculate with positive and negative rational numbers including those with whole number exponents. (8%)

LT2.2: I can use the order of operations and algebraic properties to evaluate expressions containing variables and positive and negative numbers and create equivalent expressions. (8%)

LT2.3: I can graph and describe translations and reflections of figures on a coordinate grid. (8%)

3.  Ratios and Proportional Reasoning

 

Approximate dates:Oct. 28 – Dec 1, 2016

LT3.1: I can use proportional reasoning to solve problems involving ratios, rational numbers & interest. (10%)

LT3.2: I can identify the features of proportional relationships and can distinguish between proportional and other relationships. (10%)

LT3.3: I can use proportional reasoning to solve problems using multiple representations (equations/inequalities/graphs/context/language/tables). (10%)

4.  Data and Probability

 

Approximate dates: Dec 2, 2015 – Jan 23, 2017

LT4.1: I can use the mean, median and range to draw conclusions about data and make predictions. (8%)

LT4.2: I can display and interpret data in a variety of ways. (line plots, circle graphs, stem and leaf, histograms)  (8%)

LT4.3: I can calculate probabilities and reason about probabilities using proportions. (8%)

Semester 2

5.  Linear Relationships

 

Approximate dates: Jan 24, 2017 – March 17, 2017

LT5.1: I can represent linear functions with tables, equations, graphs, context and language including identifying the slope and y-intercept.

LT5.2: I can represent and solve real-world and mathematical situations using linear equations and inequalities.

LT5.3: I can recognize that a function is linear if it is written in the form f(x) = mx + b and interpret the meaning of the y-intercepts and slope.

6.  Equations and Solving

 

Approximate dates: March 20, 2017 – Mar 30, 2017

LT6.1: I can evaluate algebraic expressions, including expressions containing radicals and absolute values, and justify the algebraic properties.

LT6.2: I can solve multi-step equations in one variable and justify the steps by identifying the algebraic properties used.

7.  Systems of Equations

 

Approximate dates: April 10, 2016 – May 12, 2017

LT7.1: I can solve problems involving parallel and perpendicular lines in a coordinate graph.

LT7.2: I can solve a system of equations by using a graph, substitution, and elimination, and determine if the system has 0, 1, or infinite solutions.

LT7.3: I can model a context using a system of linear equations.

8.  Pythagorean Theorem

 

Approximate dates: May 15, 2016 – Jun 14, 2016

LT8.1: I can classify real numbers as rational or irrational, and approximate the value of irrational numbers and locate them on the number line.

LT8.2: I can use the Pythagorean Theorem to solve problems involving right triangles, and find the distance between any two points on a coordinate grid.

LT8.3: I can find the distance between two coordinate points.