Learning Targets and Exercise Handout

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Algebra 1-2
Topics & Learning Targets
Semester One
A0.
Pre-Algebra Skills
A0a. Numeracy & Computation
 I can order and locate a set of mixed numbers (including decimals, fractions,
and integers) on a number line
See problem: 1-37
 I can represent a real number in its equivalent decimal, fraction, or percent
form
See problems: 1-13, 1-25, 1-38, 2-63, 5-69
 I can compute with decimals, fractions, integers, and percents
(with or without a calculator)
See problems: 1-4, 1-5, 1-10, 1-12, 1-21, 1-22, 1-24, 1-28, 1-30, 1-36, 1-44, 1-45, 149, 1-57, 1-69, CL 1-74, 2-33, 2-43, 2-46, 2-53, 2-55, 2-61, 2-77, 2-89, 3-68,
3-100, 4-40, 5-29
 I can use the order of operations to simplify numerical expressions
See problems: 3-16, 3-27, CL3-110
A0b. Graphing
 I can identify the x and the y axis on a coordinate grid
 Given a point in (x, y) form, I can identify which term is the x value and which
term is the y value
 I can locate and name a point on an x-y coordinate grid
 I can graph points on an x-y coordinate grid
 I can create or interpret a graph to describe the relationship between two
quantities
See problems: 1-6, 1-7, 1-8, 1-9, 1-14, 1-16, 1-17, 1-18, 1-34, 1-48, 1-68CL 1-1-70,
CL 1-71, 2-20, 2-31, 2-60, 2-80, 2-88, 3-51a, 4-82
Alg1-2_1stSemeter_LTTargets withProblems_10-11
Revised 09/26/10
Problem sets assigned to Targets
A1.
Solving Equations
A1a. Solve word problems using any method
See problems: 1-46, 1-54, 1-55, 1-65, 1-72, 2-11, 2-32, 2-68, 2-78, 2-87, 2-120,
3-26, 3-94, 4-24, 4-103, 4-116
A1b. Solve an equation, record steps, and check your answer
Combine like terms:
 I can identify and combine like terms
See problems: 2-4, 2-6, 2-7, 2-12, 2-13, 2-17, 2-21, 2-29, 2-41, 2-44, 2-45, 248, 2-52, 2-59, 2-79, 2-96, 2-115, CL 2-121, CL 2-125, 3-4, 3-15, 3-31, 3-75,
CL 3-109, 4-6, 7-77
Undo operations and solve for a variable:
 I can undo the four basic operations (+,–, ·, ÷) in a two-step equation and
solve for x
See problems: 2-76, 2-82, 2-95, 2-114, 3-24, 3-38, 4-14, 4-23b, 4-39a & c, 517, 5-28
 I can undo operations and solve for x after combining all like terms in an
equation
See problems: 2-25, 2-39, 2-59, 2-64, 2-65, 2-66, 2-69, 2-79b, 2-84, 2-94, 2104, 2-105, CL2-119, CL 2-126, 3-13, 3-23, 3-25, 3-29, 3-30, 3-49, 3-59, 3-67,
3-69, 3-71, 3-84, 3-93, 3-95, 3-98, 3-102, CL 3-109, CL 3-112, 4-5, 4-13, 423a, 4-32, 4-39 b & d, 4-43, 4-45, CL4-114, 5-34, 5-36, 5-37, 5-57, 5-63c, 571, 5-72c, CL5-93, CL 5-94
A1c. Solve for an indicated variable (SECOND SEMESTER):
 I can replace a variable in an equation with a number and solve for the
other variable
See problems: 3-87, 3-88, 3-89, CL 411c, CL 4-115c
 I can solve an equation for an indicated variable
See problems: 5-46, 5-47, 5-51, 5-55, 5-77, 5-89,6-12, 6-100, 6-114, 7-8, 7-51
A1d. Evaluate an expression and check a solution
 I can replace a variable(s) in an expression with a number(s) and
determine the value of the expression
 I can evaluate and justify whether two expressions are equivalent
See problems: 2-10, 2-14, 2-18, 2-30, 2-56, 2-69, 2-71, 2-90, CL 2-124, 3-5, 314, 3-39, 3-58, 3-67, 3-85, 3-92, 3-95, 3-98, 3-102, CL 3-109, CL 3-115, 4-41b,
4-57, 4-91, 4-96, CL 4-108, 5-40, 6-29, 6-106, 6-108
 I can interpret and describe the difference between problems with a
single solution, no solutions, and infinite solutions
Alg1-2_1stSemeter_LTTargets withProblems_10-11
Revised 09/26/10
Problem sets assigned to Targets
See problems: 2-83, 2-84, 3-70, 3-80, 3-93, 3-102, CL3-115, 4-32, 4-39, 4-45,
4-98, 4-106, 5-8, 5-39, 5-77
A1e. Write & solve equations from a real-life situation
 I can write and solve an equation to solve a simple word problem like
“Guess My Number”
See problems: 3-77, 3-78, 4-33, 4-101, 4-105, 5-60, 5-63, 5-72 a, b &d, 5-87,
CL5-96, 7-96, 7-98, 8-27
A1f. Use proportional relations to set up and solve problems
 I can use proportional reasoning to solve problems
See problems: 2-62, 2-91, 2-97, 2-99, 2-102, 2-106, 2-112, 2-116, CL 2-123,
3-17, 3-40, 3-64, 3-76, 3-101CL 3-108, CL 3-111, 4-4, 4-15, 4-48, 4-58, 4-71,
4-90
 I can solve for a missing value (x) in a proportional equation
 I can write the relationship between the quantities in a word problem as
a proportion and solve for x
See problems: 5-17, 5-28, 5-44, 5-54, 5-62, 5-63, 5-64, 5-65, 5-67, 5-69, 5-72,
5-73, 5-75, 5-78, 5-83, 5-86, 5-87, CL 5-95, CL 5-97
A2.
Multiple Representations of Linear Relationships
A2a. Given a linear representation, create its table, rule, graph, pattern/
situation
 Given one form of a linear representation, I can create its corresponding
table, rule, graph, pattern or situation
See problems: 4-37, 4-59, 4-60, 4-85, CL 5-90
A2b. Compare properties of two linear relations
 Given representations of more than one relation, I can compare growth
rates and initial values and interpret relative outcomes
See problems: 2-54, 2-116, CL 2-118, 3-8, 4-18, 4-19, 4-46, 4-55, 4-67, 4-73
Pattern/Situation  Rule
 I can find a pattern/situation, describe it in words and make predictions
 Given a pattern/situation I can find the rule
 I can use a rule to find the number of tiles in any figure
 I can use a rule to find the figure number when I know the number of tiles
Alg1-2_1stSemeter_LTTargets withProblems_10-11
Revised 09/26/10
Problem sets assigned to Targets
See problems: 1-31, 1-32a, 132b, 1-35, 1-56, 1-66a, 1-67, C 1-75, 2-70, CL 2122, 3-1a&b, 3-2, 3,3, 3-6, 3-12, 3-18, 3-41, 3-57, 3-60, 3-62, 3-89c, 4-1, 4-2,
4-33, CL 4-107f, CL 4-111a,CL 4-111b, 5-41, 5-52, 5-79b
Pattern/Situation  Graph
 Given a linear pattern/situation or graph I can identify the number of tiles
in figure zero and the growth factor for the pattern
 Given a linear pattern/situation I can draw the graph
 Given a linear graph I can create three consecutive figures of a pattern
that matches the graph
See problems: 3-18, 3-19, 4-46, 4-51, 4-59a
Pattern/Situation  Table
 Given a linear pattern/situation I can accurately record the figure number
and the number of tiles in an input/output table
 Given an input/output table I can create a tile pattern/situation that
matches the table
See problems: 2-87, 3-18, 3-42, 3-47, 3-48, 3-50, 3-60, 3-83, 3-103, CL 3-106,
CL 3-107, 4-7, 4-16, 4-21, 4-22, 4-34, 4-35, 4-42, 4-59b, CL 4-107b, CL 4-115
Table  Rule
 Given a rule for a linear relationship, I can create or complete an
input/output table
 Given a table for a linear relationship, I can find a rule
See problems: 3-2, 3-3, 3-28, 3-32, 3-33, 3-34, 3-35, 3-36, 3-37, 3-44, 3-48,
3-56, 3-66, 3-74, 3-83, 3-97, CL 3-105, CL 3-106, CL 3-113, CL 3-114, 4-16,
4-21, 4-41a, 4-46, 4-47, 4-63, 4-74, 4-100, CL 4-107c, CL 4-115
 Given a rule and a table with output values, I can find the input values
Graph  Table
 Given an incomplete table, I can use the graph to fill in the missing
numbers
 Given an input/output table, I can create a complete graph for the table
 Given a graph, I can create a table and identify the y-intercept
See problems: 3-33b&c, 3034, 3-35, 3-36, 3-43, 3-44, 3-45, 4-46, 3-47, 3-55,
3-56, 3-60, 3-61, 3-65, 3-86, 3-96, CL 3-107, CL 3-113, CL 3-114, 4-3, 4-22, 425, 4-41a, 4-4, 4-102
Rule  Graph
 I can identify the starting value (y-intercept) and growth factor (slope) in
a rule or a graph of a linear relation
 Given a rule, I can draw a complete graph
 Given a graph of a linear relation, I can write the rule
Alg1-2_1stSemeter_LTTargets withProblems_10-11
Revised 09/26/10
Problem sets assigned to Targets
See problems: 3-52, 3-53, 3-66, 3-83, 3-86, 4-18, 4-27, 4-49, 4- 50, 4-54, 455d, 4-62, 4-74, CL 4-107d, CL 4-110 b & c, 5-30, 5-49, 5-59
A3.
Linear Relationships
A3a. Identify linear relationships and describe key features (growth factor,
starting value, graph)
 Given a graph or a table of values, I can distinguish between linear and
non-linear growth
 Given a graph or table of values of a linear relation, I can determine
whether the growth factor/slope is positive or negative
 Given a graph of a linear relation, I can accurately estimate specific values
for the graph
See problems:1-6, 2-98, 3-11, 3-47, 3-51, 4-19a, 4-25, 4-36, 4-55
 Given a graph, table of values, or a pattern/situation of a linear relation, I
can determine the starting value/y-intercept and the growth factor/slope
Slope: 1-67, 3-1, 3-6, 3-10, 4-8, 4-9, 4-10, 4-11, 4-19, 4-27, 4-28, 4-36, 4-49,
4-50, 4-54, 4-56, 4-62, 4-63, 4-95, 4-100, 4-107e, CL 4-110, CL 4-115, 518a, 5-79a
y-intercept: 4-27, 4-36, 4-37, 4-49, 4-50, 4-54, 4-56, 4-62, 4-63, 4-82, 4-95, 4100, 4-104, CL 4-110, CL 4-115, 5-18b, 5-30b, 5-45a, 5-46c
A3b. Write linear equations from a graph or table
 Given a graph or table of values for a linear relation, I can write an
equation that matches the graph or table
See problems: 3-45, 3-86, CL 3-113, 4-55, 4-110, 5-30
A3c. Graph a linear equation (from a table or a rule) and identify its intercepts
 Given an equation or table of values for a linear relation, I can create a
graph and identify the x- and y-intercepts
See problems: CL 4-104, 4-115, 5-30,
Alg1-2_1stSemeter_LTTargets withProblems_10-11
Revised 09/26/10
Problem sets assigned to Targets
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