Integrated Algebra/Geometry 1

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1 *Ability to add, subtract, multiply and divide integers (without the use of a calculator) Ability to make statements about information presented in: tables and graphs concept maps identify and extend patterns evaluate variable expressions evaluate powers of variables Toolbox Skills 1-4 Section 1.1 Section 1.2 Section 1.3 make conjectures about powers of 10 find counterexamples *Ability to evaluate expressions using order of operations model distributive property combine like terms identify congruent polygons name polygons identify transformation estimate by comparing estimate probabilities Section 1.4 Section 1.5 Section 1.6 Section 2.1 June 2003 Page 1 of 9 Douglas County School District

2 evaluate expressions with negative numbers evaluate using absolute value read and write numbers in scientific notation read and write numbers in decimal notation evaluate using rules of exponents estimate distances on a map recognize symbols representing geometric terms classify angles estimate angle measures find unknown angle measures simplify an expression for the measure of a figure collect like terms with two variables solve equations by balancing find square roots find cube roots use and interpret data from matrices, spreadsheets and graphs Section 2.2 Section 2.3 Section 2.4 Section 2.5 Section 2.6 Section 2.7 Section 2.9 Section 3.1 June 2003 Page 2 of 9 Douglas County School District

3 Section 3.2 find mean, median and mode identify outliers in a data set calculate range write an inequality graph an inequality on a number line Ability to use the following to display data: histograms frequency tables stem-and-leaf plots draw a box-and-whisker plot use it to compare data set Section 3.3 Section 3.4 Section 3.5 Ability to choose a data display to show a data set Section 3.6 Ability to analyze misleading graphs Section 3.7 Ability to identify coordinates on a coordinate plane Section 4.1 identify geometric shapes on a coordinate plane find area of triangles drawn on coordinate plane find area of polygons drawn on coordinate plane Section 4.2 June 2003 Page 3 of 9 Douglas County School District

4 translate figures on a coordinate plane recognize translational symmetry recognize rotational symmetry rotate figures on polar graph paper make and interpret scatter plots of data use scatter plots to make predictions by creating a fitted line recognize functions draw graphs of functions Section 4.3 Section 4.4 Section 4.5 Section 4.6 write equations of functions graph equations of functions identify shapes of graphs model problems with a table, graph or equation solve multi-step equations identify opposites *Ability to solve equations with variables on both sides solve inequalities model inequalities Section 4.7 Section 5.1 Section 5.2 Section 5.3 Section 5.4 June 2003 Page 4 of 9 Douglas County School District

5 *Ability to rewrite equations and formulas Section 5.5 *Ability to solve equations using Section 5.6 reciprocals *Ability to find area using formulas Section 5.7 *Ability to solve systems of equations Section 5.8 simplify ratios find unit rates solve problems using ratios find experimental probability find theoretical probability identify complementary events write proportions solve proportions use sampling to make predictions calculate margin of error *Ability to use proportions to: find sides of similar polygons Section 6.1 Section 6.2 Section 6.3 Section 6.4 Section 6.5 prove congruence read scale drawings draw dilations Section 6.6 June 2003 Page 5 of 9 Douglas County School District

6 *Ability to find values for: sine of an angle cosine of an angle *Ability to find: direction variation slope of a line values for tangent of an angle write a direction variation equation from a table graph direct variation equations find slope given two coordinates find circumference of a circle find arc length write a direction variation equation from a graph graph direction variation equations find slope (rise/run) convert using dimensional analysis find area of a circle find area of a sector graph equations find slope and y-intercept from an equation find slope and y-intercept from a graph model and write equations Section 6.7 Section 7.1 Section 7.2 Section 7.3 Section 7.4 Section 7.5 Section 7.6 Section 8.1 June 2003 Page 6 of 9 Douglas County School District

7 Section 8.2 change equation from slopeintercept form to standard form graph equations using intercepts *Ability to write equations for: horizontal lines vertical lines *Ability to write equations given: two points slope and one point Section 8.3 Section 8.4 *Ability to solve systems of equations Section 8.5 *Ability to graph linear inequalities Section 8.6 *Ability to solve systems of linear inequalities use Pythagorean Theorem to find lengths of sides of right triangle Section 8.7 Section 9.1 know difference between inductive and deductive reasoning simplify square roots solve equations with square roots write if-then statements write converses Section 9.2 Section 9.3 June 2003 Page 7 of 9 Douglas County School District

8 *Ability to find surface area of: prisms cylinders pyramids *Ability to find volume of: cylinder prism *Ability to find volume of: pyramids cones Ability to find area and volume of similar figures Section 9.5 Section 9.6 Section 9.7 Section 9.8 Ability to draw reflections Section 10.1 Ability to transform parabolas Sectopm 10.2 Section 10.3 graph a parabola find factors of a parabola *Ability to simplify exponents Section 10.4 factor and expand algebraic expressions find x-intercepts of parabolas by factoring expand binomials find line of symmetry of a parabola factor trinomials sketch the graph of a parabola Section 10.5 Section 10.6 Section 10.7 Toolbox Skills 7,8 June 2003 Page 8 of 9 Douglas County School District

9 Ability to solve equations with Section 10.8 quadratic formula June 2003 Page 9 of 9 Douglas County School District

PITSCO Math Individualized Prescriptive Lessons (IPLs)

PITSCO Math Individualized Prescriptive Lessons (IPLs) Orientation Integers 10-10 Orientation I 20-10 Speaking Math Define common math vocabulary. Explore the four basic operations and their solutions. Form equations and expressions. 20-20 Place Value Define