| OUTCOME/
ESSENTIAL
QUESTION |
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How
can I use my data to make predictions?
How can I organize my data? |
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| Sampling
and classifying data |
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*make
data tables (D.B2.K1)
*draw bar graphs (D.B2.K1)
*problem solve (D.B2.A3)
*addition facts (N.B1.K3)
*make predictions
(D.B2.A1 & D.B1.K2)
*take a sample (D.B2.K2)
*communicate solutions orally & in writing
(N.B4.A2) |
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timed
tests
DOM, DMP, DPP
use of manipulatives
teacher observations
boardwork
games
activities
flash cards
centers
unit reviews |
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Why
is math (measurement, mapping, data gathering, and
prediction) important?
What strategies do I use to solve subtraction
problems?
What patterns do I see on a calendar?
How is multiplication like addition? |
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Using
strategies
Exploring multiplication |
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*addition
facts (N.B4.K1)
*problem solve with subtraction & multiplication
(N.B1.A1)
*magic squares (N.B4.K1)
*subtraction facts (N.B4.K4)
*use data to solve problems (D.B2.A1)
*collect & organize data (D.B2.K1)
*estimating prices (N.B3.K1)
*develop number sense involving money (N.B1.K3
& 4)
*link multiplication to repeated addition (N.B1.K3)
*write problems involving multiplication (A.B2.A3
& N.B4.A2)
*write multiplication number sentences (N.B4.K7)
*group set of objects into groups of equal size (w/
remainders) (N.B4.K5)
*investigate multiples (2-11) & patterns of
various multiples (A.B3.K3
& N.B4.K3)
*express numbers (1-31) as product plus remainder
(N.B4.K5) |
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Why
do I need to know the value of a digit?
What is area?
How can I find the area of a shape? |
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Place
value
Area
Addition
Subtraction |
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*partition
quantities in many ways (N.B4.K1)
*develop base-ten groups for 2-, 3-, & 4-digit
numbers (N.B2.K1)
*improve number sense for 2-, 3-, & 4-digit
numbers (N.B1.K2 & N.B2.K1)
*understand regrouping (N.B1.K3)
*understand base-ten pieces to show quantities
represented by digits of a number (N.B2.K4, N.B1.K1,
& A.B4.K1)
*order large numbers (N.B1.K2 & A.B2.K4)
*use expanded and standard form (N.B2.K2)
*regroup with large numbers (N.B1.K3)
*place value in addition (N.B1.K3)
*telling time to the nearest 5 minutes (G.B2.K2)
*find area of irregular shapes (G.B2.K3)
*solve problems involving area
*investigate relationship between shape and area
*find median value (D.B2.K3)
*define variables in an experiment (D.B2.K1)
*gather, organize & analyze data (pictures, data
tables, graphs) (D.B2.A1)
*use mental strategies to add & subtract
multidigit numbers (N.B4.A
*estimate solutions to addition & subtraction
problems using benchmarks, such as 1000, 500, 100
(N.B3.K2)
*understand & use addition algorithm (2-, 3-,
& 4-digit numbers) |
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Objective/Skill
continued-
*understand & use subtraction algorithm
(N.B4.K1)
*use convenient numbers to estimate (N.B3.K2)
*use strategies for computational estimation
(N.B3.K2 & A2)
*discover number patterns (palindromes) (A.B1.K4) |
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Show
at least two different ways to solve a problem.
Why is it helpful to be able to solve a problem in
more than one way?
How can recognizing patterns help me solve problems? |
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(finish
addition & subtraction concepts)
Explore multiplication
& division |
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(finish
skills)
*use data tables &
graphs to solve problems (D.B2.A1)
*make point graphs (D.B2.K1)
*solve problems using multiplication & division
(N.B2.K6, N.B2.K7, & N.B4.K7)
*communicate problem solving strategies (N.B4.A2)
*use number lines to solve problems (G.B4.K1 & N.B1.K3)
*connect repeated addition to multiplication
(G.B4.K1)
*connect repeated subtraction to division (G.B4.K1)
*write number sentences (N.B4.K7)
*solve problems involving money (N.B1.K3, N.B4.A3)
*measure perimeter & length (G.B2.K3, G.B2.K5,
& A.B4.K1)
*recognize & describe patterns (A.B1.A2,
A.B1.K1)
*use patterns to solve problems (A.B1.K1, A.B1.A2) |
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How
can I use coordinates to give the location of an
object?
How do I measure distances?
How can you find the mass of an object?
What is a best-fit line and how can it help you make
predictions? |
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Mapping
and Coordinates
Using patterns to predict |
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*find
coordinates of an object (G.B4.K2 & K3)
*find an object whose coordinates are given
(G.B4.K3)
*use scale to find distance on a map
*use a scale map to reconstruct an arrangement of
objects
*use a scale map to make predictions about distances
*measure length (G.B2.K3)
*use coordinates (G.B4.K3)
*create and interpret scale maps
*practice addition and subtraction facts (N.B4.K4)
*recognize basic metric unit of mass (gram) &
measure (G.B2K1)
*find mass of objects with 2-pan balance &
standard masses
*use patterns in tables and graphs to predict
(A.B1.K3, A.B3.K3, &
D.B1.A1)
*collect data (D.B2.K2)
*graph data & draw best-fit line for linear data
*explore reason for measurement error
*use multiplication & division in solving
problems (N.B4.K1 & K2)
*develop spatial visualization skills (G.B3.K2)
*demonstrate logical thinking (N.B3.K4) |
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What
patterns do you see in the data table and graph?
What, if any, connections do you see?
What are numerators and denominators?
How does a numerator relate to a denominator?
How would you
compare the sides and corners of a triangle, square,
and pentagon? |
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Numbers
and patterns
Fractions
Geometry
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*measure
length in inches (G.B2.K3)
*collect & organize data
*use patterns in tables & graphs to make
predictions (D.B2.A1)
*communicate the solution to a problem (G.B2.A1)
*review subtraction facts (N.B4.K4)
*solve problems in cooperative groups (G.B2.A1)
*communicate problem-solving strategies (N.B2.A1)
*link concrete situations with fraction symbols
& words (N.B1.K1 & A.S4.K1)
*understand how size of whole affects size of
fraction (A.B4.A1)
*divide whole into equal-area parts (A.B4.K2)
*find area
*identify congruent parts of rectangles (G.B1.K1)
*visualize "flips" of geoboard figures
(G.B3.K2)
*see part-whole fractions as fair shares (A.B4.K1
& A1)
*find fractional parts of sets (N.B1.A2 &
A.B4.K1)
*find fractional parts of whole numbers (N.B1.A2)
*use manipulatives to find sums of fractions,
equivalent fractions, & to compare size of
fractions (N.B1.K2)
*represent shapes with manipulatives, in drawings
& in words (A.B4.K1 & G.B1.K2)
*solve geometric dissection puzzles (G.B1.A3)
*develop spatial visualization skills (G.B1.A2 &
A3) |
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Objective/Skill continued-
*use area & angle size in mathematical argument
*use flips & turns to identify congruent shapes
(G.B3.K2 & A1)
*analyze & classify shapes by number of sides,
corners, right angles, & lines of symmetry
(G.B1.A1, &K4)
*measure area & perimeter (G.B2.K5) |
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What
patterns do you see in your multiplication table?
How do you tell time on a clock?
Why is it important to record accurate data for an
experiment?
What could happen in an experiment if data is not
accurate? |
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Multiplication
Patterns
Collecting & Using Data
Decimals |
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*solve
and write problems involving multiplication
(N.B4.A2, N.B4.K8, & A.B2.A1)
*communicate problem-solving strategies (A.B2.A1,
A2, & A3)
*use a multiplication table to record facts
(N.B1.K3, N.B4.K4, & N.B2.K6)
*find patterns among facts for 0, 1, 2, 3, 5, &
10 (A.B1.K2 & A1 & A.B2.K3)
*calculate value of collections of nickels &
dimes (A.B1.K2 & A.B2.K2)
*use rectangular arrays to derive mult. facts
(A.B4.A1 & K1)
*investigate square & prime numbers (A.B4.K1
& A1)
*complete multiplication table (N.B4.K4)
*find patterns for multiples of 9 (A.B1.K2 & A1
& A.B2.K3)
*investigate symmetry in multiplication table
(N.B4.K4, A.B4.A1, & N.B2.K6)
*practice multiplication facts (N.B1.K3)
*reinforce understanding of array model of
multiplication (N.B1.K3)
*explore division through problem solving (N.B2.K6)
*investigating division involving zero (N.B2.A2)
*investigate if there is turnaround rule for
division
*identify & understand patterns in addition,
subtraction & multiplication with zero (N.B2.A1
& A2)
*understand why division by zero is impossible
*make a straight-line graph
*read a graph (D.B2.A1) |
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Objective/Skill continued-
*use multiplication to extrapolate & interpolate
(D.B2.A1)
*determine rate of change from graph (D.B2.A1)
*multiplying by 10s & 100s (A.B1.K2 & A1
& A.B2.K3)
*writing about patterns when multiplying by 10s
& 100s (A.B1.A1)
*tell time to nearest minute (G.B2.K2)
*solve problems involving elapsed time (G.B2.A1)
*tell time to 5 min. on analog & digital
(G.B2.K2)
*use simple percentages as benchmarks (0%, 25%, 50%,
75%, 100%)
*collect & record data (D.B2.K1 & K2)
*use data to make predictions (D.B2.A1)
*analyzing data (D.B2.A1)
*solve multidigit addition & subtraction
problems (N.B1.A1 & A2 & N.B4.A1)
*link decimals to fraction concepts (A.B4.K1)
*write fractions from decimals (denominators of 10
& 100) (N.B1.K2 & A2)
*count by 0.1 and multiples of 0.1 (A.B1.K2)
*read decimals (A.B1.K2)
*measure to nearest tenth of centimeter (G.B2.K3
&A1)
*estimate length (G.B2.A2)
*identify larger & smaller decimal fractions in
relationship to each other (N.B1.K2)
*identify relationship between common and decimal
fraction (N.B1.A2)
*solve problems with decimals (N.B4.A1) |
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How
would you use a graduated cylinder to find the
volume of an object?
How do you know if two fractions are equivalent? |
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(finish
decimals)
Volume
Fractions
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(finish
decimals)
*estimate volume (G.B2.K3)
*measure volume by displacement
*write addition, subtraction, multiplication, &
division sentences (N.B4.K7)
*add, subtract, multiply, & divide multidigit
numbers (N.B4.K4 &A1)
*make predictions from graphs (D.B2.A1)
*make bar graph (D.B2.K1)
*discover & calculate relationships between cup,
pint, quart, and gallon (G.B2.K4)
*measure volume in metric units (cc) & customary
units (gal) (G.B2.K3)
*use multiplication & division to solve problems
(N.B4.A2, N.B4.K8, A.B2.A1
*identify fraction when unit whole is given
(triangle = 1/2 of square) (A.B4.K2)
*use area model to name fractions & decimals
(A.B4.K2)
*compare quantities to 1/2
*find, name, & find patterns in equivalent
fractions (N.B1.K2 & A.B4.K2)
*understand importance of equal-sized pieces in
part-whole fractions (N.B1.K2 & A.B4.K2)
*find fractions of numbers (N.B1.K1)
*compare fractions (N.B1.K2 & A.B4.K2) |
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What
does learning to draw a cube have to do with
mathematics?
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*show
proficiency of subtraction facts (N.B4.K1 & K4)
*describe 3-dimensional objects (G.B1.K3)
*name & identify parts of rectangular prism
(G.B1.K3)
identify, describe, & compare physical
attributes of 3-dimensional to 2-dimensional
drawings (G.B1.A2)
*draw cubes & rectangular prisms
*use 2-dimensional representation of 3-dimensional
object to build model
*find area of cube model's base, its volume, &
height
*view models from different perspectives
*use grid to record top, front, & side views of
cube model |
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| What
steps do you follow to multiply a 2-digit by a
1-digit number? |
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| Multiplication
& division |
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*solve
problems that have multiple solutions (A.B2.A2 &
A3)
*solve multiplication & division problems
(A.B2.A2 |
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