Honors Math 1 learning targets
Learning Target
“I can…”
1.1 translate verbal expressions
1.2 evaluate expressions according to the order of operations
1.3 recognize basic properties of arithmetic (equality, identity, associativity, commutativity)
1.4 apply the distributive property both forwards and backwards (factoring out)
1.5 “solving” equations by simplifying one side
1.6 express relations as tables, graphs and mappings and interpret graphs
1.7 determine if a relation is a function from tables and graphs and interpret/evaluate function notation
1.8 determine if a graph is linear or nonlinear and point out characteristics of the graph
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2.1 translate sentences into equations and from word problems
2.2/2.3a solve 1- and 2-step equations
2.3b/2.4 solve multi-step equations with variables on both sides
2.5 solve absolute value equations
2.6 find ratios and write and solve proportions
2.7 solve percent of change problems (discount, tax, tip)
2.8 isolate and solve for a single variable within a formula
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3.1a graph by making a table
3.1b graph linear equations in standard form by finding x and y-intercepts
3.3 find slope of a line from a graph and from two points on the line
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4.1 graph an equation using slope-intercept form
4.2 write linear equations in slope-intercept form
4.3 write an equation in point-slope form
4.4 identify, interpret, and construct parallel and perpendicular lines/equations by their slopes
4.5/4.6 construct a scatter plot and line of fit from a collection of data points
4.7 evaluate inverse functions and graph inverse linear functions (just a video)
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5.1/5.2 solve single-step inequalities using the four basic operations
5.3 solve multi-step inequalities
5.4 solve compound inequalities
5.5 solve absolute value inequalities (visit Mr. Swenson, after watching this video, about this learning target if you wish to improve)
5.6 graph inequalities in two variables
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6.1 solve systems of linear equations by graphing and when there are consistent/inconsistent solutions
6.2 solve systems of linear equations by substitution
6.3 solve systems of linear equations by adding or subtracting (simple elimination)
6.4 solve systems of linear equations by elimination
6.5 recognize when to use graphing, substitution or elimination to solve a systems of equations
6.6 solve systems of linear inequalities
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7.1/7.2 apply exponent properties for products and quotients (watch 2 videos and try this practice) and properties for zero and negative exponents (extra negative exponent practice here)
7.3 simplify with rational exponents
7.4 convert in scientific notation and conduct calculations
7.5a graph exponential functions
7.5b write equations of exponential functions
7.6 write and utilize exponential growth and decay word problems (watch video and then visit with Mr. Swenson if you wish to improve)
7.7 determine whether a sequence is geometric or arithmetic and write a formula for geometric
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8.1 add and subtract polynomials
8.2/8.3/8.4 multiply a polynomial by a monomial and multiply polynomials (including special products)
8.5 solve factored polynomials or by factoring out greatest common monomial
8.6 factor and solve quadratics when leading coefficient is 1
8.7 factor and solve quadratics where leading coefficient is not 1
8.9 solve quadratic equations by using square roots
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9.1 graph quadratics by using -b/2a to find the vertex
9.2 factor quadratics to pick out key features and then graph them
9.3a graph quadratics by making a table and basic transformations (stretching and vertical shift); watch video and then visit with Mr. Swenson
9.3b apply transformations of parabolas (graphing in vertex form)
9.3c compare all 3 ways to graph quadratics
9.4 solve quadratic equations by completing the square
9.5a solve quadratic equations by using the quadratic formula
9.5b interpret the discriminant to state the number of solutions for a quadratic (take notes on this video, then come in to show Mr. Swenson notes. He will make up a problem to do for Math Gym credit)
9.6 determine whether a relation is linear, quadratic or exponential no learning target for this one, sorry :(
9.7 graph absolute value functions and graph piecewise functions
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10.1 graph a square root function (watch video here) and then visit with Mr. Swenson
10.2/10.3 simplify radical expressions
10.4 solve radical equations
10.5 solve using the Pythagorean Theorem
10.6a define trig ratios of given triangles and use to solve for missing sides
10.6b use a trig ratio to solve for a missing side of a right triangle and missing angles
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11.1 Determine direct or inverse variation and write an inverse variation equation
11.2 Graph rational functions, determine vertical asymptotes and horizontal asymptotes through transformations (no Math Gym, visit with Mr. Swenson for make-up credit)
11.3 Simplify rational expressions
11.4/11.7 Multiply and divide rational expressions and complex fractions (need to do both to earn credit)
11.5 Divide polynomials, both with and without long division (watch this video, take notes, show the notes to Mr. Swenson and he will make up a problem for credit)
11.6/11.7 Add and subtraction rational expressions
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12.1 determine a sampling method and if it is biased or unbiased (read these two excerpts, take notes on them, and speak to Mr. Swenson)
Excerpt 1
Excerpt 2
12.2 identify a sample and population (along with statistic and parameter) and calculate standard deviation for a population
12.3 identify skewness and appropriateness to create box plots and histograms to display data
12.4 compare sets of data using either box plots or histograms depending on the distribution (Khan also uses dot plots)
12.6 calculate permutations, combinations and decide when to use each. (need to do all 3 links)
12.7 calculate probability of compound events
12.8 construct probability distributions and calculate expected values (need to do both)
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GEOMETRY Learning Targets
“I can:”
1.1/1.3 Define points, lines, planes, and use the distance formula
1.4/1.5 I can identify and utilize angle relationships (linear pairs and vertical angles, etc)
1.6 I can find the perimeter and area of 2-dimensional figures
1.7 I can find the surface area and volume of 3-dimensional figures
“I can…”
1.1 translate verbal expressions
1.2 evaluate expressions according to the order of operations
1.3 recognize basic properties of arithmetic (equality, identity, associativity, commutativity)
1.4 apply the distributive property both forwards and backwards (factoring out)
1.5 “solving” equations by simplifying one side
1.6 express relations as tables, graphs and mappings and interpret graphs
1.7 determine if a relation is a function from tables and graphs and interpret/evaluate function notation
1.8 determine if a graph is linear or nonlinear and point out characteristics of the graph
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2.1 translate sentences into equations and from word problems
2.2/2.3a solve 1- and 2-step equations
2.3b/2.4 solve multi-step equations with variables on both sides
2.5 solve absolute value equations
2.6 find ratios and write and solve proportions
2.7 solve percent of change problems (discount, tax, tip)
2.8 isolate and solve for a single variable within a formula
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3.1a graph by making a table
3.1b graph linear equations in standard form by finding x and y-intercepts
3.3 find slope of a line from a graph and from two points on the line
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4.1 graph an equation using slope-intercept form
4.2 write linear equations in slope-intercept form
4.3 write an equation in point-slope form
4.4 identify, interpret, and construct parallel and perpendicular lines/equations by their slopes
4.5/4.6 construct a scatter plot and line of fit from a collection of data points
4.7 evaluate inverse functions and graph inverse linear functions (just a video)
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5.1/5.2 solve single-step inequalities using the four basic operations
5.3 solve multi-step inequalities
5.4 solve compound inequalities
5.5 solve absolute value inequalities (visit Mr. Swenson, after watching this video, about this learning target if you wish to improve)
5.6 graph inequalities in two variables
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6.1 solve systems of linear equations by graphing and when there are consistent/inconsistent solutions
6.2 solve systems of linear equations by substitution
6.3 solve systems of linear equations by adding or subtracting (simple elimination)
6.4 solve systems of linear equations by elimination
6.5 recognize when to use graphing, substitution or elimination to solve a systems of equations
6.6 solve systems of linear inequalities
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7.1/7.2 apply exponent properties for products and quotients (watch 2 videos and try this practice) and properties for zero and negative exponents (extra negative exponent practice here)
7.3 simplify with rational exponents
7.4 convert in scientific notation and conduct calculations
7.5a graph exponential functions
7.5b write equations of exponential functions
7.6 write and utilize exponential growth and decay word problems (watch video and then visit with Mr. Swenson if you wish to improve)
7.7 determine whether a sequence is geometric or arithmetic and write a formula for geometric
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8.1 add and subtract polynomials
8.2/8.3/8.4 multiply a polynomial by a monomial and multiply polynomials (including special products)
8.5 solve factored polynomials or by factoring out greatest common monomial
8.6 factor and solve quadratics when leading coefficient is 1
8.7 factor and solve quadratics where leading coefficient is not 1
8.9 solve quadratic equations by using square roots
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9.1 graph quadratics by using -b/2a to find the vertex
9.2 factor quadratics to pick out key features and then graph them
9.3a graph quadratics by making a table and basic transformations (stretching and vertical shift); watch video and then visit with Mr. Swenson
9.3b apply transformations of parabolas (graphing in vertex form)
9.3c compare all 3 ways to graph quadratics
9.4 solve quadratic equations by completing the square
9.5a solve quadratic equations by using the quadratic formula
9.5b interpret the discriminant to state the number of solutions for a quadratic (take notes on this video, then come in to show Mr. Swenson notes. He will make up a problem to do for Math Gym credit)
9.6 determine whether a relation is linear, quadratic or exponential no learning target for this one, sorry :(
9.7 graph absolute value functions and graph piecewise functions
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10.1 graph a square root function (watch video here) and then visit with Mr. Swenson
10.2/10.3 simplify radical expressions
10.4 solve radical equations
10.5 solve using the Pythagorean Theorem
10.6a define trig ratios of given triangles and use to solve for missing sides
10.6b use a trig ratio to solve for a missing side of a right triangle and missing angles
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11.1 Determine direct or inverse variation and write an inverse variation equation
11.2 Graph rational functions, determine vertical asymptotes and horizontal asymptotes through transformations (no Math Gym, visit with Mr. Swenson for make-up credit)
11.3 Simplify rational expressions
11.4/11.7 Multiply and divide rational expressions and complex fractions (need to do both to earn credit)
11.5 Divide polynomials, both with and without long division (watch this video, take notes, show the notes to Mr. Swenson and he will make up a problem for credit)
11.6/11.7 Add and subtraction rational expressions
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12.1 determine a sampling method and if it is biased or unbiased (read these two excerpts, take notes on them, and speak to Mr. Swenson)
Excerpt 1
Excerpt 2
12.2 identify a sample and population (along with statistic and parameter) and calculate standard deviation for a population
12.3 identify skewness and appropriateness to create box plots and histograms to display data
12.4 compare sets of data using either box plots or histograms depending on the distribution (Khan also uses dot plots)
12.6 calculate permutations, combinations and decide when to use each. (need to do all 3 links)
12.7 calculate probability of compound events
12.8 construct probability distributions and calculate expected values (need to do both)
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GEOMETRY Learning Targets
“I can:”
1.1/1.3 Define points, lines, planes, and use the distance formula
1.4/1.5 I can identify and utilize angle relationships (linear pairs and vertical angles, etc)
1.6 I can find the perimeter and area of 2-dimensional figures
1.7 I can find the surface area and volume of 3-dimensional figures