Math Radar Screener
Diagnostic Screener Grade 7 Entry Baseline
Math Radar Screener
Part I: Foundational Number Sense, Integers & Operations Fluency
Name:
Date:
Period:
Instructions: Solve independently. Show required thinking in the blank spaces. No calculators.
Standard Administration
SECTION 1
Number Sense, Integers & Rational Numbers
Score: _____ / 4
1. Compare Rational Values NS.1
Fill in \(<\), \(>\), or \(=\):
a) \(-15\) \(-7\)
b) \(-2.4\) \(-2.04\)
c) \(\frac{3}{4}\) \(0.75\)
2. Absolute Value & Opposites NS.2
Determine each value:
a) \(|-32| =\)
b) Opposite of \(-19 =\)
c) \(-|14| =\)
3. Signed Integer Operations NS.3
a) \(-8 + (-13) =\)
b) \(12 - (-15) =\)
c) \((-9) \times (-6) =\)
d) \(-48 \div 6 =\)
4. Powers & Scientific Place Value NS.4
a) \(5^3 =\)
b) \((-2)^4 =\)
c) \(6.2 \times 10^3 =\)
SECTION 2
Computation Fluency & Order of Operations
Score: _____ / 4
5. Multi-Digit Algorithms OF.1
a) \(438 \times 27\)
Ans:
b) \(1,176 \div 14\)
Ans:
6. Order of Operations (PEMDAS) OF.2
\(36 - 4 \times (2 + 3)^2 \div 5\)
Final Answer:
7. Factors & Multiples OF.3
Find the requested value:
a) GCF of \(24\) and \(40\) =
b) LCM of \(6\) and \(9\) =
8. Distributive Property & Expressions OF.4
Expand and combine like terms:
\(5(3x + 4) - 7x\)
Simplified:
Grade 7 Math Radar Screener • Sections 1 & 2 Page 1 of 3 • Continue to Page 2
Part II Fractions, Decimals & Percents
Student:
Date:
SECTION 3
Fractions & Mixed Numbers
Score: _____ / 4
9. Equivalent Fractions & Forms FR.1
a) Simplify \(\frac{36}{48}\) to lowest terms:
b) Find missing value: \(\frac{5}{8} = \frac{\square}{40}\)
c) Convert \(\frac{29}{6}\) to mixed number:
10. Add & Subtract Unlike Denominators FR.2
a) \(\frac{2}{3} + \frac{4}{7}\)
Ans:
b) \(4\frac{1}{4} - 1\frac{5}{6}\)
Ans:
11. Multiply Fractions & Mixed Numbers FR.3
Solve and simplify completely:
\(2\frac{2}{5} \times \frac{15}{16}\)
Product:
12. Divide Fractions FR.4
Solve and write in simplest form:
\(\frac{7}{10} \div \frac{2}{5}\)
Quotient:
SECTION 4
Decimals & Percents
Score: _____ / 4
13. Decimal Addition & Subtraction DP.1
a) \(54.8 + 8.65\)
Ans:
b) \(40 - 17.38\)
Ans:
14. Decimal Multiplication DP.2
Calculate exact product:
\(6.4 \times 0.35\)
Product:
15. Decimal Division DP.3
Compute exact quotient:
\(12.6 \div 0.15\)
Quotient:
16. Conversions (% • Fraction • Decimal) DP.4
a) Write \(75\%\) as a simplified fraction:
b) Write \(\frac{3}{8}\) as a decimal:
c) Write \(0.06\) as a percent:
Grade 7 Math Radar Screener • Sections 3 & 4 Page 2 of 3 • Continue to Page 3
Part III Word Problems & Diagnostic Scoring
Student:
Date:
SECTION 5
Applied Problem Solving & Modeling
Score: _____ / 4
17. Unit Rates & Price Comparison WP.1
Store A sells 4 notebooks for $9.00. Store B sells 6 of the same notebooks for $12.60.
Store A unit price: $ / book
Store B unit price: $ / book
Better Buy:
18. Multi-Step Geometry & Cost WP.2
A rectangular patio is \(12\frac{1}{2}\) ft long and \(8\) ft wide. Edging material costs $3.50 per foot.
Perimeter: ft
Total Edging Cost: $
19. Practical Fraction Application WP.3
Chef Leo has a \(10\)-pound sack of flour. He bakes 4 loaves of bread, using \(1\frac{3}{4}\) pounds of flour per loaf.
Flour remaining: lbs
20. Remainder Interpretation WP.4
A trip includes 142 students and 14 teachers. Each passenger van holds up to 15 people.
a) Min. vans needed:
b) Empty seats on last van:
Teacher Diagnostic Scoring & Intervention Profile
Total Score: / 20
| Skill Domain | Items | Score | Target | Key Prerequisite Indicator | Intervention |
|---|
| 1. Number Sense & Integers | 1–4 | ___ / 4 | ≥ 3 | Signed integers, negatives on number line, powers | [ ] Review |
| 2. Operations & Fluency | 5–8 | ___ / 4 | ≥ 3 | Multi-digit mult./div., PEMDAS, distributive property | [ ] Review |
| 3. Fractions & Mixed Numbers | 9–12 | ___ / 4 | ≥ 3 | Unlike denominators, reciprocal division algorithm | [ ] Review |
| 4. Decimals & Percents | 13–16 | ___ / 4 | ≥ 3 | Decimal point placement, fraction-decimal-% bridge | [ ] Review |
| 5. Applied Problem Solving | 17–20 | ___ / 4 | ≥ 3 | Unit rate pricing, multi-step modeling, remainders | [ ] Review |
Tier 1: On-Track (17–20) Mastery demonstrated. Ready for Grade 7 core content.
Tier 2: Targeted (12–16) Targeted skill gaps. Small-group intervention recommended.
Tier 3: Intensive (0–11) Prerequisite remediation needed across foundational domains.
Priority Support Flags:
[ ] Negative Integers [ ] Unlike Denominators [ ] Decimal Division [ ] PEMDAS / Expressions [ ] Multi-Step Modeling
Teacher Notes / Next Steps:
Grade 7 Math Radar Screener • Applied Problem Solving & Diagnostic Profile Page 3 of 3 • End of Screener
