PROBLEM SOLVING STRATEGIES

5
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.

Transcript of PROBLEM SOLVING STRATEGIES

Page 1: 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.

Page 2: PROBLEM SOLVING STRATEGIES

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%)

Page 3: PROBLEM SOLVING STRATEGIES

S3C2PO 2. Translate between the different representations of whole number relationships, including symbolic, numerical, verbal, or pictorial. (11%)

Page 4: PROBLEM SOLVING STRATEGIES

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.

Page 5: PROBLEM SOLVING STRATEGIES

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.