Composite+Collection+of+Tasks+for+Learning+and+Assessment+Algebra

Composite Collection of Tasks for Learning and Assessment Algebra


 * Algebra 1A**



 * 1) I can show my understanding of equivalence among fractions, decimals and percentages by converting, interchanging, and using them at the right times.
 * 2) I can classify and compare rational and irrational numbers by ordering them or by placing them on a number line,
 * 3)  I can estimate approximate solutions when multiplying and dividing using with fractions and decimals. I can multiply and divide fractions and decimals.
 * 4)   I can estimate solutions when adding and subtracting using fractions and decimals. I can compute solutions. I can explain why we need common denominators when adding and subtracting using fractions and why we must line up decimals when adding & subtracting using decimal numbers.
 * 5) I can show my understanding and compute ( - x ÷ ) using positive and negative integers.
 * 6) I can simplify algebraic expressions using order of operations, distributive property and combining like terms.
 * 7) I can simplify expressions with exponents and describe the size of a number with a negative exponent.
 * 8) I can solve single variable equations. I can explain equivalence and how to use equivalence to solve equations.
 * 9) I can  solve single variable inequalities algebraically and graphically.
 * 10)  I can  solve for the missing variable in a formula, including geometric measurement formulas.
 * 11) I can find missing measures in similar figures using proportion equations. I can explain connections between similarity and proportion.
 * 12) I can write and solve ratio and proportion problems from a variety of contexts, including percentages and unit rates.
 * 13) I can use proportion to create or interpret scale drawings. I can find actual measurements from scale drawings.
 * 14) I can collect data from real life situations and organize the data in tables, graphs and equations.
 * 15) I can recognize a linear pattern and distinguish between linear and non-linear patterns in data, graphs and equations. I can graph that relationship and write an equation for that relationship ( y = mx b).
 * 16) I can describe the slope of a line as a ratio or unit rate in a real life situation.
 * 17) I can explain how the graph tells the story of the situation and how the equation tells the story of the situation. I can explain how the slope and the y intercept relate to the real life story.
 * 18) I can simplify, (, -, x, ÷) expressions with square roots.
 * 19) I can use Pythagorean Theorem to find a missing side of a right triangle
 * 20) I can estimate and measure real-life and geometric objects and determine whether my answer makes sense.

 Algebra or Algebra 1B
> · single variable equations > · single variable inequalities algebraically and graphically. > · literal equations for a specified variable (rearrange a formula for a specific variable.
 * 1) Define, classify, compare, and order rational and irrational numbers. Place rational and irrational numbers on a number line.
 * 2) Evaluate and simplify expressions, including formulas, containing rational numbers and square roots using the order of operations.
 * 3) Simplify, add, subtract, multiply, and divide expressions with square roots.
 * 4) Compute solutions to real world problems, representing my answer in exact form, determining whether or not my answer is reasonable using estimation.
 * 5) Use the Pythagorean Theorem to find any missing side of a right triangle.
 * 6) I can solve:
 * 1) I can solve proportions that contain variables.
 * 2) <span style="font-family: 'Times New Roman',Times,serif;"> I can solve word problems, including those with constant rates of change, by writing and solving equations.
 * 3) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> I can determine and explain the slope of any line (including vertical and horizontal lines) when given any of the following: data points, a line on a graph, a table, an equation, and real world data. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
 * 4) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"><span style="font-family: 'Times New Roman',Times,serif;">   <span style="font-family: 'Times New Roman',Times,serif;"> I can  explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
 * 5) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> I can identify the x- and y-intercepts from an equation, graph, or table of values. I can explain the x- and y-intercept of a graph in a real world situation.
 * 6) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> I understand and can explain linear relationship stories using graphs, tables, or equations. I can make connections among graphs, tables, and equations.
 * 7) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> I can graph linear equations and inequalities by plotting points, finding x- and y-intercepts, given the slope and any point on the line, and given an equation in slope-intercept form.
 * 8) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;">I can determine how changes in the slope or y-intercept will affect an equation and a graph.
 * 9) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> <span class="wiki_link"> Write the equation of a line<span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> given a graph, two points, or the slope and a point on the line in slope-intercept form and standard form. I can write equations for horizontal and vertical lines.
 * 10) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"> I can distinguish between linear and nonlinear functions by examining data, a table, an equation, or a graph. I can generalize a linear pattern using slope.
 * 11) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;">I can write algebraic expressions or equations to generalize visual patterns, numerical patterns, relations, data sets, or scatter plots.
 * 12) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;">I can collect, record, organize, and display a set of data with two variables. I can determine whether the relationship between two variables is linear or nonlinear by examining a scatter plot. I can characterize the relationship between two variables as having positive, negative, or zero correlation.
 * 13) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;"><span style="font-family: 'Times New Roman',Times,serif;"><span style="font-family: Arial,Helvetica,sans-serif;"> <span style="font-family: 'Times New Roman',Times,serif;">I can estimate the equation a line of best fit through a set of data and use this equation to make predictions. I can explain what the slope and y-intercept tell me about the real world data.
 * 14) I can solve a system of two linear equations graphically and algebraically with and without the use of technology. I can determine the number of solutions for a system of two linear equations.
 * 15) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;">I can graph a system of linear inequalities and determine solutions.
 * 16) I can simplify expressions containing positive and negative exponents, and express my answer using positive exponents.
 * 17) I can add and subtract polynomials.
 * 18) I can multiply monomials with polynomials. I can multiply two binomials.
 * 19) I can factor a trinomial using the greatest common factor, finding the difference of two squares, and completing perfect square trinomials.
 * 20) <span style="font-size: 10pt; font-family: Arial,Helvetica,sans-serif;">I can solve a quadratic equation using factoring and square roots. I can write a quadratic equation given the solutions.