PROBLEM SOLVING STRATEGIES
Transcript of PROBLEM SOLVING STRATEGIES
Santa Cruz Valley Unified School District # 35 Third Grade Math Calendar
2012-2013 Quarter 1 (43 Days)
Quarter 1: August 7 - October 5
September 3 (Labor Day)
enVision Math Topics 1-4 Topic 1: Numeration Topic 2: Number Sense: Addition and Subtraction Topic 3: Using Place Value to Add and Subtract Topic 4: Meanings of Multiplication
PROBLEM SOLVING STRATEGIES : Make Organized List (T1), Reasonableness (T2),
Draw a Picture and Write a Number Sentence (T3), Writing to Explain (T4),
S1C1PO1 (17%) Express whole numbers through six digits using and connecting
multiple representations
S3C1PO1 (6%) Recognize, describe, extend, create, and find missing terms in a
numerical sequence. Addition and subtraction only.
S1C1PO2 (17%) Compare and order whole numbers through six digits by applying the
concept of place value.
3.NBT.2. Fluently add and subtract within 1000 using strategies and algorithms based on
place value, properties of operations, and/or the relationship between addition and
subtraction.
S1C2PO1 (20%) Add and subtract whole numbers to four digits.
3.OA.8. Solve two-step word problems using the four operations. Represent these
problems using equations with a letter standing for the unknown quantity. Assess the
reasonableness of answers using mental computation and estimation strategies
including rounding. Addition and subtraction only.
S1C3PO1 (6%) Make estimates appropriate to a given situation or computation with
whole numbers. Addition and subtraction only.
3.OA.9. Identify arithmetic patterns (including patterns in the addition table or
multiplication table), and explain them using properties of operations.
S3C3PO2 (11%) Explain the rule for a given numerical sequence and verify that the rule
works.
Standards in red should contain addition and subtraction problems only.
Santa Cruz Valley Unified School District # 35 Third Grade Math Calendar
2012-2013 Quarter 2 (47 Days)
Quarter 2: October 8 - December 21
October 8 (Columbus Day) October 18 (ER, P/T Conferences) October 19 (P/T Conferences, no classes) November 12 (Veteran’s Day) November 19-23 (Fall Break/Thanksgiving)
enVision Math Topics 5-8
Performance Objectives w/
AIMS %
Performance Objectives w/ AIMS % Performance Objectives
w/ AIMS %
S1C2PO2 (20%) Create
and solve word problems
based on addition,
subtraction,
multiplication, and
division.
S1C2PO3(20%).
Demonstrate the concept
of multiplication and
division using multiple
models.
S1C2PO5 (20%). Apply
and interpret the concept
of multiplication and
division as inverse
operations to solve
problems.
S1C2PO6 Describe the effect of
operations (multiplication and
division) on the size of whole
numbers.(20%)
S1C2PO7 Apply commutative,
identity, and zero properties to
multiplication and apply the identity
property to division. (20%)
S2C3PO1 Represent all possibilities
for a variety of counting problems
using arrays, charts, and systematic
lists; draw conclusions from these
representations.(5%) (Use
supplemental material).
S2C3PO2 Solve a
variety of problems
based on the
multiplication
principle of counting.
(5%)
S3C1PO1 Recognize,
describe, extend,
create, and find
missing terms in a
numerical sequence.
(6%)
S3C3PO1 Record
equivalent forms of
whole numbers to six
digits by constructing
models and using
numbers.
(11%)
Supporting Objectives: S1C2PO 4. Demonstrate fluency of multiplication and division facts through 10. (20%) S3C3PO 3. Create and solve simple one-step equations that can be solved using addition and multiplication facts. (11%)
Year Long Objectives:
S5C2PO 7. Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question. (11%)
S3C2PO 2. Translate between the different representations of whole number relationships, including symbolic, numerical, verbal, or pictorial. (11%)
Santa Cruz Valley Unified School District # 35 Third Grade Math Calendar
2012-2013 Quarter 3 (42 Days)
Quarter 3: January 7 - March 8
January 21 (Martin Luther King Day) February 14 (ER - P/T Conferences) February 15 (P/T Conferences, no classes) February 18 (President’s Day)
enVision Math Topics 9 - 12
Performance Objectives w/ AIMS
%
Performance Objectives w/
AIMS %
Performance Objectives w/
AIMS %
S1C1PO 5 (17%). Express
benchmark fractions as fair
sharing, parts of a whole, or
parts of a set.
S1C1PO 6 (17%). Compare and
order benchmark fractions.
3C2PO 1. (11%) Recognize and
describe a relationship between
two quantities, given by a chart,
table or graph, in which the
quantities change
proportionally, using words,
pictures, or expressions.
S1C3PO 1. (6%) Make
estimates appropriate to a
given situation or
computation with whole
numbers.
S3C2PO 2.
(11%)Translate between
the different
representations of whole
number relationships,
including symbolic,
numerical,
verbal, or pictorial.
S4C1PO 4. (9%) Describe
and compare attributes of
two- and three-
dimensional figures.
S4C1PO 3. (9%) Identify
and describe 3-
dimensional figures
including their
relationship to real world
objects: sphere, cube,
cone, cylinder, pyramids,
and rectangular
prisms.
S4C1PO 2. ( 9%)
Recognize similar figures.
S4C4PO 1 (9%).
Determine elapsed time
• by hours and half hours
using a clock
• across months using a
calendar
Supporting Objectives:
S4C1PO 1(9%). Describe sequences of 2-dimensional figures created by increasing the number of sides, changing size, or changing orientation. S4C2PO 1(9%). Identify a translation, reflection, or rotation and model its effect on a 2-
dimensional figure.
S4C2PO 2. (9%) Identify, with justification, all lines of symmetry in a 2-dimensional figure.
Year Long Objectives: S5C2PO 4. Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
Santa Cruz Valley Unified School District # 35 Third Grade Math Calendar
2012-2013 Quarter 4 (48 Days)
Quarter 4: March 11 - May 23
March 25-29 (Spring Break)
April 1 (Easter Monday)
April 15-19 (AIMS / Stanford 10)
enVision Math Topics 13 - 16
Performance
Objectives w/ AIMS %
Performance Objectives w/ AIMS % Performance Objectives w/
AIMS %
S4C4PO 5. (9%)
Measure and
calculate perimeter of
2-dimensional
figures.
S4C4PO 4. (9%)
Determine the area of
a rectangular figure
using an array model.
S4C4PO 3(9%).
Convert units of
length, weight, and
capacity
• inches or feet to
yards,
• ounces to pounds,
and
• cups to pints, pints
to quarts
quarts to gallons.
S4C4PO 2 (9%). Apply
measurement skills to measure
length, weight, and capacity using
US Customary units.numbers .
S2C1PO 1. (6%) Collect, record,
organize, and display data using
frequency tables, single bar graphs,
or single line graphs.
S2C1PO 2. (6%) Formulate and
answer questions by interpreting
and analyzing displays of data,
including frequency tables, single
bar graphs, or single line graphs.
S2C4PO 3. (6%) Solve
problems using vertex-
edge graphs.
S5C2PO 2. (11%) Identify
relevant, missing, and
extraneous information
related to the solution to a
problem.
S5C2PO 6. (11%)
Summarize mathematical
information, explain
reasoning, and draw
conclusions.
Supporting Objectives:
S2C4PO 1. Color complex maps using the least number of colors and justify the coloring. S2C4PO 2. Investigate properties of vertex-edge graphs: circuits in a graph, weights on edges, and shortest path between two vertices.
Year Long Objectives:
S5C2PO 8. Make and test conjectures based on data or information collected from explorations
and experiments.