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Winston
Dillard School District 6th Grade |
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Oregon
Common Curriculum Goal |
Standards
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Skills |
Assessments |
Dates |
Lessons |
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Highlighted
text is tested. Underlined text should be mastered. Italicized text should
be introduced. |
Calculations and
Estimations
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Calculations and
Estimations CCG Understand numbers, ways of representing numbers, relationships
among numbers, and number systems. |
Order, model, and compare positive rational numbers
(fractions, decimals, and percentages).
CE6.1 |
Student will understand place value (standard,
expanded, word form), compare numbers and decimals (less than, greater than,
equivalence), round numbers and decimals. Convert fractions, decimals, and
percentages, and ratios. |
Chapter 1 posttest,
Chapter 4 posttest, Chapter 13 posttest, |
September, November, April |
McGraw 1.1
Decimal place value 1.2 Compare and Order, 1.3
Problem Solving 4 step process 1.4
Add and Subtract Whole numbers and decimals 1.5
Estimating Sums and Differences 4.2
Explore Prime and Composite Numbers 4.3
Greatest Common Factors and Least Common Multiples 4.8
Compare and Order Fractions 4.9
Mixed numbers 4.10 Relate Fractions and Decimals 4.11
compare and Order fractions and Mixed numbers 4.12A,
4.12B Fractions Problem Solving 12.3
Check for Reasonableness Problem Solving 12.5
Write an Equation Problem solving 12.8
Decision Making Problem Solving 13.1
Explore the Meaning of Percent 13.2
Percents, Fractions, and Decimals 13.5
Find the Percent One Number Is of Another |
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Apply
factors and multiples to express fractions in lowest terms and identify
fraction equivalents. CE 6.2
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Identify prime and
composite numbers. Factor numbers. Identify common
factors. Identify fraction
equivalents. |
Chapter 4 posttest, |
November, |
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Understand rates and
ratios as comparisons of two quantities by division. Differentiate between rates and ratios
and express both as fractions.
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Convert fractions,
decimals, and percentages, and ratios. |
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Solve
problems by calculating rates and ratios. CE 6.3
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Solving problems by using
rates, unit rates, and unit prices. Set up proportions to find
a variable in a proportion. Find a percent of a
number. Find the percent one
number is of another. Use percents to calculate
sales tax, discounts, interest and totals. |
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Locate
positive rational numbers (fractions, decimals, and percentages) on a number
line. CE 6.4
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Convert fractions,
decimals, and percentages, and ratios. |
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Apply equivalent forms of fractions and decimals to
solve problems. CE 6.5 |
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Determine equivalent forms of fractions, mixed numbers
and improper fractions. CE6.6 |
Solve proportion equations
involving variables. Convert fractions,
decimals, ratio, and percentages. |
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Model square numbers and
recognize their characteristics. |
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Identify prime and composite numbers less than 100. |
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Solve problems using
concepts related to factoring and determining divisibility (e.g., 2,3,5,9,
and 10). |
Set up proportions to
solve equations with variables. |
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Calculations and
Estimations CCG Compute fluently and
make reasonable estimates. |
Develop and analyze algorithms
for computing with fractions and mixed numbers. |
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1.5
Estimating Sums and Differences 2.5
Problem Solving Mult and Divide estimates or exact answer 2.9
Divide Decimals by Whole Numbers 2.11
Mult and Div Expressions Problem Solving 2.13Divide
Decimals by Decimals 5.1
Add and Subtract Mixed Numbers with Like Denominators 5.2
Add and Subtract Mixed Numbers with Unlike Denominators 5.7
Explore Subtracting Mixed Numbers 5.9
Estimate Sums and Differences of Mixed Numbers 6.1
Fractions of Whole Numbers 6.2
Multiply Fractions 6.3 Multiply Mixed Numbers 6.6
Properties of Multiplication 6.8
Explore Dividing Fractions 6.9
Divide Fractions and Mixed Numbers |
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Add and subtract fractions with like and unlike
denominators. CE6.7 |
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UNDERSTAND LINEAR, AREA, AND DISCRETE MODELS TO
multiply and divide fractions. |
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Solve problems involving common percentages. CE 6.9 |
Find a percent of a
number. Find the percent one
number is of another. Use percents to calculate
sales tax, discounts, interest and totals. |
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Convert mentally among
common decimals, fractions and percentages. Apply grouping symbols to
simplify calculations and evaluate expressions. |
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DEVELOP AND use strategies to estimate the results of
positive rational number computations AND JUDGE THE REASONABLENESS OF RESULTS. |
Estimate sums,
differences, products, and quotients. |
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Use referent numbers in
estimating answers to adding and subtracting fractions and mixed numbers
(e.g., 2 ¼ = 3/8 < 3, since both ¼ and 3/8 are less than ½). |
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Calculations and
Estimations CCG Understand meanings of operations and how they relate to one
another. |
Use the inverse operations of addition and subtraction,
to solve problems AND CHECK SOLUTIONS involving adding and subtracting
fractions and mixed numbers. CE 6.10 |
Solve expressions using
the order of operations rules. |
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2.7
Properties of Multiplication 5.1
Add and Subtract Mixed Numbers with Like Denominators 5.2
Add and Subtract Mixed Numbers with Unlike Denominators 5.7
Explore Subtracting Mixed Numbers 5.9
Estimate Sums and Differences of Mixed Numbers 6.1
Fractions of Whole Numbers 6.2
Multiply Fractions 6.3 Multiply Mixed Numbers 6.6
Properties of Multiplication 6.8
Explore Dividing Fractions 6.9
Divide Fractions and Mixed Numbers 8.1
Algebra: Functions and Equations |
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Apply the associative, commutative, and distributive
properties to simplify computations with positive rational numbers. CE 6.11 |
Solve expressions using
the order of operations rules. |
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Statistics and
Probability
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Statistics and
Probability CCG Select and use appropriate statistical methods to analyze
data. |
Find, use and interpret measures of center and spread. |
Find the Range, mean, median,
and mode of a set of data. |
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3.2
Range, Mean, Median, and Mode 3.3
Choose the most appropriate average 14.5
Use a Simulation Problem Solving |
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Statistics and
probability CCG Understand and apply basic concepts of probability |
Determine experimental
probability of an event from a set of data. Express probability using
fractions, ratios, decimals, and percents. Understand that
probability cannot determine an individual outcome, but can be used to
predict the frequency of an outcome. Determine the number of
possible combinations of two or more classes of objects (e.g., shirts, pants,
and shoes). |
Make diagrams and tables
to find the possible number of outcomes in an experiment. |
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3.1
Collect, Organize, and Display Data 3.6
Statistics problem Solving |
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Statistics and
probability CCG Formulate questions that can be addressed with data and
collect, organize, and display relevant data to answer them. |
Design experiments and
simulations to determine experimental probability of different outcomes. Understand that
experimental probability approaches theoretical probability as the number of
trials increase Recognize and
understand the connections among concepts of independent outcomes, picking at
random, and fairness. |
Design experiments to find
if the possible number of outcomes in an experiment are dependent or
independent. |
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1.9A
+- Problem Solving McGraw 28-29 Rounding 1.9B Problem Solving 3.1
Collect, Organize, and Display Data 14.7
Explore Independent and Dependent Events 14.8
Independent and Dependent Events |
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REPRESENT and interpret the outcome of a probability
experiment using a frequency distribution, including determining experimental
probabilities. SP 6.1 |
Apply probability to
making decisions. |
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Statistics and
probability CCG Develop and evaluate inferences and predictions that are
based on data. |
Make predictions for succeeding trials of a
probability experiment given the outcome of preceding repeated trials. SP 6.2 |
Make and justify
predictions based on probability. Use data to estimate
probabilities. Evaluate predictions and
inferences based on probability. |
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3.12A,
3.12B Statistics Problem Solving 14.2
Make Predictions and inferences |
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Predict the outcome of a probability experiment
by computing and using theoretical probability. SP 6.3 |
Find the probability of an
event. Find the sample space of a
probability experiment. |
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Algebraic
Relationships
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Algebraic Relationships
CCG Understand patterns, relations, and functions. |
REPRESENT, analyze and determine rules for finding
patterns involving positive rational numbers with tables, graphs, words, and when
possible, symbolic rules. AR6.1 |
Represent situations and
patterns with tables, words, and equations. Express products and
powers and evaluate exponential expressions. Solve expressions using
the order of operations rules. Use graphs to solve problems. |
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3.1
Collect, Organize, and Display Data 3.2
Range, Mean, Median, and Mode 3.3
Choose the most appropriate average 3.6
Statistics problem Solving |
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Algebraic
Relationships CCG Represent and analyze mathematical situations and
structures using algebraic symbols. |
Develop an understanding
of different uses of variables (e.g., as a placeholder for a specific
unknown, as representative of a range of values). |
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Represent and evaluate algebraic expressions involving
two variables (e.g., bh/2, 2w +2I). AR
6.2 |
Evaluate, simplify, and
solve expressions using the order of operations rules. Write and solve
expressions containing a variable. |
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DESCRIBE and interpret relationships
using information from tables and graphs including coordinate graphs (first
quadrant). AR 6.3 |
Read and interpret data in
plots and graphs. Use graphs to solve
problems. Interpret and make circle
graphs. |
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Graph linear
equations on a coordinate grid by making a table using whole number
coordinates. |
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Algebraic
Relationships CCG Use mathematical models to represent and understand
quantitative relationships. |
Model and solve contextualized problems
using various representations such as graphs, tables, and equations. Recognize and represent direct variation
using tables and graphs. Identify and
sketch a graph that models a given situation. |
Write, solve, and simplify
addition, subtraction, multiplication, and division expressions. Write, solve, and simplify
addition, subtraction, multiplication, and division expressions that include
integers. Organize and display data
in plots and graphs. |
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3.1
Collect, Organize, and Display Data 3.2
Range, Mean, Median, and Mode 3.3
Choose the most appropriate average 3.6
Statistics problem Solving 8.6
Explore Addition Equations Mc Graw pg 352-353 8.7
Addition and Subtraction Equations Mc Graw 354-357 8.8
Multiplication and Division Equations McGraw 358-361 8.9
Two-Step Equations McGraw pg 362-365 8.10
Write an Equation Problem Solving McGraw pg 366-375 |
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Algebraic
Relationships CCG Analyze change in various contexts. |
Investigate how a
change in one variable relates to a change in a second variable. |
Describe and graph
functions with variables. |
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Measurement
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