Math 1 Learning Targets
Unit 1
1A. Rewrite rational numbers and decimals, take square roots and cube roots, and approximate irrational numbers.
1B. Understand and describe relationships between sets of real numbers.
1C. Order a set of real numbers and evaluate square roots, including rational and irrational numbers.
1D. Develop and use the properties of integer exponents including negative exponents and zero exponent
Unit 2
2A. Create and solve one and two-step linear equations
*Inactive
2B. Solve multi-step linear equations
*Focus on inactive here
2C. Create and solve multi-step linear equations
*Consecutive Integers, perimeter of a rectangle
2D. Solve literal equations for a specified variable
*Focus on standard form linear to slope intercept
2E. Create, and solve multi-step inequalities
*Inactive
Unit 3
3A. Represent a Function with a table, graph, or function rule
*What is a function?
*VLT, input, output
3B. Interpret a function: Independent, Dependent, Domain, Range
*What is the most appropriate domain? (graph, equation, context)
3C. Given a graph: Intervals of Increasing/Decreasing and Positive and Negative
*What is true over a given interval?
*Story Graphs
3D. Use and interpret function notation
*Show linear, quadratic & exponential functions.
*Inactive: Compare output of two functions - When does the output of f(x) first exceed g(x)?
*Given a solution find a missing value, plug in an expression, f(4)+g(3)
*3f(x) + 4g(x)
3E. Calculate and interpret the average rate of change of a function (Graph, Table, or Equation)
*Show linear, & exponential functions
*Given slope find a missing coordinate
Unit 4
4A: Write an equation in Slope Intercept Form given slope, intercept, tabled ordered pairs, graph and verbal description
*Inactive. STRONG focus on y-intercept
*Rearrange equation from standard to slope intercept and vise versa
4B: Graph and interpret solutions to linear functions
*STRONG focus on y-intercept
*Understanding the line is a representation of all possible solutions
*Determine if the function is increasing and decreasing using slope.
4C: Interpret key features of linear functions from multiple representations.
*Slope and intercepts
4D. Calculate a linear regression model from a data set and use it to:
- Make predictions
- Determine the strength of a line of best fit (correlation coefficient)
- Determine and interpret residuals of linear models
4E. Compare key features of two functions from the same family represented in different forms (graph, table, equation, verbal)
*Assign the x-coordinate of the vertex a new variable, difference in max values
4F: Create recursive and explicit formulas for arithmetic sequences and translate between the two forms
4G: Create and Graph linear inequalities
Unit 5
5A. Write the equation of a line parallel or perpendicular to a given line through a given point
5B. Find the midpoint or endpoint of a given line segment
5C. Use the Pythagorean Theorem to solve for missing sides of a triangle (review). Use the Pythagorean Theorem to find the distance between two points on the coordinate plane.
5D. Calculate the perimeter and area of polygons in the coordinate plane.
5E. Use vertices to classify quadrilaterals and verify algebraically and determine the missing coordinates of quadrilaterals *Include pentagons and other shapes created from rectangles and triangles.
Unit 6
6A. Create systems in context and solve by graphing or using a table
*Determine if (x,y) is a solution to a given system
6B. Create systems in context and solve systems of linear equations algebraically (substitution and elimination)
6C. Determine the appropriate method and solve systems in context
6D. Create and Graph systems of linear inequalities, interpret solutions
*Determine if (x,y) is a solution to a given system
Unit 7
7A. Use properities of exponents to simplify and rewrite expressions
7B. Create exponential functions in standard form from a table
*Graph in Desmos and the graph’s range
7C. Determine growth or decay percentages
7D. Create, graph, solve, and interpret exponential equations in context
7E. Calculate average rate of change from an exponential graph, table, and equation
7F. Calculate an exponential regression model from a data set by using the calculator to find the solutions to f(x) = g(x)
*Compare output of two functions
7G. Compare key features of two functions from the same family represented in different forms (graph, table, equation, verbal)
*Assign the x-coordinate of the vertex a new variable, difference in max values
7H. Create recursive and explicit formulas for geometric sequences and translate between the two forms
Unit 8
8A. Classify polynomials according to degree and term. Write polynomials in standard form.
8B. Add and subtract polynomial expressions in context
8C. Multiply polynomial expressions in context
8D. Factor polynomials using the greatest common factor. Factor by grouping.
8E. Factor quadratics using difference of squares
8F. Factor quadratics with a = 1
8G. Factor solve quadratics with a > 1
Unit 9
9A. Identify key features of a quadratic from a graph
9B. Identify key features of a quadratic equation in standard form and other forms (factored form)
*Standard: vertex, y-intercept. factored: x-intercepts, (Inactive)
9C. Use quadratics to solve problems in context
*Maximum area, minimum value, when does the object hit the ground, consecutive integer, double the area find dimension
*Find the smallest zero, find the positive/negative zero, find sum or difference of the zeros
9D. Given zeros write the function and/or sketch the graph
*Matching
9E. Compare key features of two functions from the same family represented in different forms (graph, table, equation, verbal)
*Assign the x-coordinate of the vertex a new variable, difference in max values
9F. Classify a relationship as linear, exponential or quadratic and justify.
*Regression
Unit 10
10A. Calculate appropriate measures of center and spread and interpret them in context
*Mean, median, mode, range, standard deviation, given mean find a missing value
10B. Explain the effects of outliers on the center, shape and spread of data
10C. Interpret and create two-way frequency tables
10D. Interpret and compare histograms
10E. Interpret and compare box and whisker plots