grade 3 mathematics blended ccss fcat 2.0. prepare to be amazed by the magic mathematician!!!
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Group Norms and Housekeeping
Group Norms:
Participate
Ask questions
Work toward solutions
Limit side bars
Listen with an open mind
Punctuality
Logistics:
Rest Rooms
Phone Calls
Breaks
Lunch
Third Grade Big Idea 1
Develop understandings of multiplication and division and
strategies for basic
multiplication facts and related
division facts.
3.OA.1 Represent and solve problems involving multiplication and division.
3.OA.2 Understand properties of multiplication and the relationship between multiplication and division.
3.OA.3 Multiply and divide within 100.
3.OA.4 Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Common Core State Standards
CCSSM stands for
Common Core State Standards for MathematicsStandards for
Mathematical Practice
Standards for Mathematical Content
Standards for Mathematical Practice1.Make sense of problems and persevere in solving them
2.Reason abstractly and quantitatively
3.Construct viable arguments and critique the understanding of others
4.Model with mathematics
5.Use appropriate tools strategically
6.Attend to precision
7.Look for and make use of structure
8.Look for and express regularity in repeated reasoning
How does the Mathematical Practice apply to this problem:
There are 42 chairs in the music room. If the teacher puts 7 chairs in each row, how many rows will be there be?
MA.3.A.1.1 Model multiplication and division including problems
presented in context: repeated addition, multiplicative
comparison, array, how many combinations, measurement, and
partitioning.
Content LimitsItems may include whole-number multiplication facts from 0 x 0 through 9 x 9 and the related division facts
Items may include division problems with remainders expressed only as whole numbers. Items will not require interpretation of the remainder.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
How do you compare?On your white board, write a multiplicative comparison word problem that would work for this picture.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
MA.3.A.1.1 Model multiplication and division including
problems presented in context: repeated addition, multiplicative comparison, array, how many
combinations, measurement, and partitioning.
Two basic types of problems in division
Measurement: You have a group of objects and you remove subgroups of a certain size repeatedly. The basic question is—how many subgroups can you remove?Example: You have 15 lightning bugs and you put three in each jar. How many jars will you need?
Two basic types of problems in division
Partitive (Sharing): You have a group of objects and you share them equally. How many will each get?
Example: You have 15 lightning bugs to share equally in three jars. How many will you put in each jar?
MA.3.A.1.2 Solve multiplication and division fact problems
by using strategies that result from applying number properties.
Benchmark Clarification
Students will recognize equivalent representations of equations or expressions by using number properties, including the commutative, associative, distributive, and identity properties for multiplication and division and the zero property of multiplication.
Content LimitsItems will not include identifying the properties by name.Items will not require the use of more than two properties to convert one expression or equation to its equivalent.
Items may include only factors or divisors of 0 through 9.
MA.3.A.1.2 Solve multiplication and division fact
problems by using strategies that result from applying number properties.
Content LimitsItems may include whole-number multiplication facts from 0 x 0 through 9 x 9 and the related division facts.
Items will not include identifying the inverse property by name.
What Supporting Ideas are found in this Big Idea?
MA.3.A.4.1 Create, analyze, and represent patterns and relationships using words, variables, tables and graphs (ADDRESSED IN BIG IDEA 3 TRAINING)MA.3.A.6.1 Represent, compute, estimate and solve problems using numbers through hundred thousands.
MA.3.A.6.2 Solve non-routine problems by making a table, chart, or list and searching for patterns (ADDRESSED IN BIG IDEA 3 TRAINING)MA.3.S.7.1 Construct and analyze frequency tables, bar graphs, pictographs, and line plots from data, including data collected through observations surveys, and experiments.
Content LimitsNumbers may be represented flexibly; for example: 947 can be thought of as 9 hundreds, 4 tens, and 7 ones; 94 tens and 7 ones; or 8 hundreds, 14 tens, and 7 ones.
Items may include the inequality symbols (<, >,=, ≠). Students will not be expected to name the estimation strategies or be restricted to using a specific strategy.
Front-end estimation will not be an acceptable estimation strategy.
Decimals may be used in the context of money that estimate to a whole dollar.
PLACE VALUE is a fundamental feature of our number system. A thorough understanding of place value developed early through concrete experiences, is necessary in order for students to achieve computational fluency.
,
MA.3.S.7.1 Construct and analyze frequency
tables, bar graphs, pictographs, and line
plots from data, including data collected through observations
surveys, and experiments.
Content LimitsItems may require the student to choose the most appropriate data display given a set of data from observations, surveys, and/or experiments. Items may assess identifying parts of a correct graph and recognizing the appropriate scale. The increments used on the scale are limited to units of 1, 2, 5, 10, 20, 25, 50, or 100. Pictographs can use keys containing a scale of 1, 2, 5, or 10. The data presented in graphs should represent no more than five categories. The total sample size for bar graphs should be no more than 1,000. The total sample size should be no more than 200 for frequency tables, pictographs, and line plots. Addition, subtraction, or multiplication of whole numbers may be used within the item.
MA.3.S.7.1 Construct and analyze frequency tables, bar graphs, pictographs,
and line plots from data, including data collected through observations surveys,
and experiments.
Line Plots
Line plots may be confusing to some students. It is easy to mix up the numbers below the number line and the number of X’s above it. Students need to remember that the numbers below the number line are like the categories in a pictograph or a bar graph. In a line plot, these categories are numerical. The number of X’s above each number on the number line tells how many times this number or category occurs.
Juan, Cindy, and Larry are each growing a tomato plant at school. The chart below shows how many tomatoes they have
picked.
How many tomatoes did they pick all together?
62
Use the pictograph to give the correct answer
Favorite Ride
Tilt-a-Whirl
Ferris Wheel
Merry-Go-Round
Roller Coaster
Pony Ride
Suppose each ticket represents 4 votes. How many children did not vote for the roller coaster as their favorite ride?
A. 20 people
B. 41 people
C.21 people
D.42 people42