options: Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.

Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.

Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.

Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.

Functions: students learn to define, use, and evaluate functions to model relationships between quantities.

Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.

Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.

Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.

Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.

Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.

Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.
problem_activity: Problem 1
Act 1: Look at the following image -
[IMG]
Then watch the video
Piggy Bank
.
a.   What do you notice? What do you wonder?
b.   Is there enough money to purchase the paint set? Make an estimate for how much money is in the piggy bank.
Problem 2
Act 2: Use the following information to determine whether there is enough money in the piggy bank to buy the paint set –
There are 70 nickels in the piggy bank.
There are 64 quarters in the piggy bank.
There are 105 dimes in the piggy bank.
There are 230 pennies in the piggy bank.
Problem 3
Act 3: See the solution below –
[IMG]
Was your answer reasonable? Why or why not?
Problem 4
Act 4 (the sequel): If she buys the paint set, how much money will she have left over?


correct_option_index: 2