Standards

Enduring Understanding

• Numbers have different characteristics.

• Numbers can be represented, ordered, and communicated in many different forms.

• Number relationships help solve problems. Solutions must be reasonable. Percentages are used solve real world problems. 

• There are different ways of estimating.

• Computation is a vital mathematical tool. Computation and reasoning are vital mathematical tools.

Essential Questions

• How can the meaning of square numbers be expressed?

• How do you demonstrate equivalent numbers using various forms?

• How do number relationships help solve problems?

• When is the "correct" answer not the best solution?

• How could you express percentages using pictures or manipulatives?

• How do you select, apply, and explain which technique to use when estimating?

• How do you select and apply computational methods to solve a problem?

• How do you justify your solution as reasonable?

Standards: Highest Frequency High Frequency Other Standards and E-Skills

Standard 1:   (Number Sense) Students develop number sense and use numbers and number relationships in problem solving situations and communicate the reasoning in solving these problems.
Locate positive fraction on a number line.
Represent and use fractions in a variety of models and then write the equivalencies for each model.
Convert positive rational numbers into equivalent fractions, decimals and percents.
Demonstrate understanding of equivalent representations of fractions.
Use number sense to achieve a reasonable solution.

Standard 6:   (Computation) Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning involved in solving these problems. 
Apply appropriate computational methods to solve a problem.
Apply computational skills to find reasonable answers.
Apply computational strategies and algebraic thinking.
Use concrete materials, models or pictures to determine percentages in real world problems.
Determine and use scale factor to find distances from a picture.  Use pictures to determine common fractions and percents. 
Apply and explain a variety of estimation techniques and procedures.                                  
Have number sense and understand rounding procedures. 

Lessons